diff --git a/pkg/sql2pgroll/alter_table.go b/pkg/sql2pgroll/alter_table.go
index 33a7df8f..c5b12b5b 100644
--- a/pkg/sql2pgroll/alter_table.go
+++ b/pkg/sql2pgroll/alter_table.go
@@ -33,18 +33,30 @@ func convertAlterTableStmt(stmt *pgq.AlterTableStmt) (migrations.Operations, err
 			op, err = convertAlterTableSetNotNull(stmt, alterTableCmd, false)
 		case pgq.AlterTableType_AT_AlterColumnType:
 			op, err = convertAlterTableAlterColumnType(stmt, alterTableCmd)
+		case pgq.AlterTableType_AT_AddConstraint:
+			op, err = convertAlterTableAddConstraint(stmt, alterTableCmd)
 		}
 
 		if err != nil {
 			return nil, err
 		}
 
+		if op == nil {
+			return nil, nil
+		}
+
 		ops = append(ops, op)
 	}
 
 	return ops, nil
 }
 
+// convertAlterTableSetNotNull converts SQL statements like:
+//
+// `ALTER TABLE foo ALTER COLUMN a SET NOT NULL`
+// `ALTER TABLE foo ALTER COLUMN a DROP NOT NULL`
+//
+// to an OpAlterColumn operation.
 func convertAlterTableSetNotNull(stmt *pgq.AlterTableStmt, cmd *pgq.AlterTableCmd, notNull bool) (migrations.Operation, error) {
 	return &migrations.OpAlterColumn{
 		Table:    stmt.GetRelation().GetRelname(),
@@ -55,6 +67,11 @@ func convertAlterTableSetNotNull(stmt *pgq.AlterTableStmt, cmd *pgq.AlterTableCm
 	}, nil
 }
 
+// convertAlterTableAlterColumnType converts a SQL statement like:
+//
+// `ALTER TABLE foo ALTER COLUMN a SET DATA TYPE text`
+//
+// to an OpAlterColumn operation.
 func convertAlterTableAlterColumnType(stmt *pgq.AlterTableStmt, cmd *pgq.AlterTableCmd) (migrations.Operation, error) {
 	node, ok := cmd.GetDef().Node.(*pgq.Node_ColumnDef)
 	if !ok {
@@ -70,6 +87,89 @@ func convertAlterTableAlterColumnType(stmt *pgq.AlterTableStmt, cmd *pgq.AlterTa
 	}, nil
 }
 
+// convertAlterTableAddConstraint converts SQL statements like:
+//
+// `ALTER TABLE foo ADD CONSTRAINT bar UNIQUE (a)`
+//
+// To an OpCreateConstraint operation.
+func convertAlterTableAddConstraint(stmt *pgq.AlterTableStmt, cmd *pgq.AlterTableCmd) (migrations.Operation, error) {
+	node, ok := cmd.GetDef().Node.(*pgq.Node_Constraint)
+	if !ok {
+		return nil, fmt.Errorf("expected constraint definition, got %T", cmd.GetDef().Node)
+	}
+
+	var op migrations.Operation
+	var err error
+	switch node.Constraint.GetContype() {
+	case pgq.ConstrType_CONSTR_UNIQUE:
+		op, err = convertAlterTableAddUniqueConstraint(stmt, node.Constraint)
+	default:
+		return nil, nil
+	}
+
+	if err != nil {
+		return nil, err
+	}
+
+	return op, nil
+}
+
+// convertAlterTableAddUniqueConstraint converts SQL statements like:
+//
+// `ALTER TABLE foo ADD CONSTRAINT bar UNIQUE (a)`
+//
+// to an OpCreateConstraint operation.
+func convertAlterTableAddUniqueConstraint(stmt *pgq.AlterTableStmt, constraint *pgq.Constraint) (migrations.Operation, error) {
+	if !canConvertUniqueConstraint(constraint) {
+		return nil, nil
+	}
+
+	// Extract the columns covered by the unique constraint
+	columns := make([]string, 0, len(constraint.GetKeys()))
+	for _, keyNode := range constraint.GetKeys() {
+		key, ok := keyNode.Node.(*pgq.Node_String_)
+		if !ok {
+			return nil, fmt.Errorf("expected string key, got %T", keyNode)
+		}
+		columns = append(columns, key.String_.GetSval())
+	}
+
+	// Build the up and down SQL placeholders for each column covered by the
+	// constraint
+	upDown := make(map[string]string, len(columns))
+	for _, column := range columns {
+		upDown[column] = PlaceHolderSQL
+	}
+
+	return &migrations.OpCreateConstraint{
+		Type:    migrations.OpCreateConstraintTypeUnique,
+		Name:    constraint.GetConname(),
+		Table:   stmt.GetRelation().GetRelname(),
+		Columns: columns,
+		Down:    upDown,
+		Up:      upDown,
+	}, nil
+}
+
+// canConvertUniqueConstraint checks if the unique constraint `constraint` can
+// be faithfully converted to an OpCreateConstraint operation without losing
+// information.
+func canConvertUniqueConstraint(constraint *pgq.Constraint) bool {
+	if constraint.GetNullsNotDistinct() {
+		return false
+	}
+	if len(constraint.GetIncluding()) > 0 {
+		return false
+	}
+	if len(constraint.GetOptions()) > 0 {
+		return false
+	}
+	if constraint.GetIndexspace() != "" {
+		return false
+	}
+	return true
+}
+
 func ptr[T any](x T) *T {
 	return &x
 }
diff --git a/pkg/sql2pgroll/alter_table_test.go b/pkg/sql2pgroll/alter_table_test.go
index 1cdb6521..666661db 100644
--- a/pkg/sql2pgroll/alter_table_test.go
+++ b/pkg/sql2pgroll/alter_table_test.go
@@ -35,6 +35,14 @@ func TestConvertAlterTableStatements(t *testing.T) {
 			sql:        "ALTER TABLE foo ALTER COLUMN a TYPE text",
 			expectedOp: expect.AlterTableOp3,
 		},
+		{
+			sql:        "ALTER TABLE foo ADD CONSTRAINT bar UNIQUE (a)",
+			expectedOp: expect.AlterTableOp4,
+		},
+		{
+			sql:        "ALTER TABLE foo ADD CONSTRAINT bar UNIQUE (a, b)",
+			expectedOp: expect.AlterTableOp5,
+		},
 	}
 
 	for _, tc := range tests {
@@ -44,10 +52,31 @@ func TestConvertAlterTableStatements(t *testing.T) {
 
 			require.Len(t, ops, 1)
 
-			alterColumnOps, ok := ops[0].(*migrations.OpAlterColumn)
-			require.True(t, ok)
+			assert.Equal(t, tc.expectedOp, ops[0])
+		})
+	}
+}
+
+func TestUnconvertableAlterTableAddConstraintStatements(t *testing.T) {
+	t.Parallel()
+
+	tests := []string{
+		// UNIQUE constraints with various options that are not representable by
+		// `OpCreateConstraint` operations
+		"ALTER TABLE foo ADD CONSTRAINT bar UNIQUE NULLS NOT DISTINCT (a)",
+		"ALTER TABLE foo ADD CONSTRAINT bar UNIQUE (a) INCLUDE (b)",
+		"ALTER TABLE foo ADD CONSTRAINT bar UNIQUE (a) WITH (fillfactor=70)",
+		"ALTER TABLE foo ADD CONSTRAINT bar UNIQUE (a) USING INDEX TABLESPACE baz",
+	}
+
+	for _, sql := range tests {
+		t.Run(sql, func(t *testing.T) {
+			ops, err := sql2pgroll.Convert(sql)
+			require.NoError(t, err)
+
+			require.Len(t, ops, 1)
 
-			assert.Equal(t, tc.expectedOp, alterColumnOps)
+			assert.Equal(t, expect.RawSQLOp(sql), ops[0])
 		})
 	}
 }
diff --git a/pkg/sql2pgroll/create_table.go b/pkg/sql2pgroll/create_table.go
index dbaeb504..089b8d4a 100644
--- a/pkg/sql2pgroll/create_table.go
+++ b/pkg/sql2pgroll/create_table.go
@@ -8,7 +8,7 @@ import (
 )
 
 // convertCreateStmt converts a CREATE TABLE statement to a pgroll operation.
-func convertCreateStmt(stmt *pgq.CreateStmt) ([]migrations.Operation, error) {
+func convertCreateStmt(stmt *pgq.CreateStmt) (migrations.Operations, error) {
 	columns := make([]migrations.Column, 0, len(stmt.TableElts))
 	for _, elt := range stmt.TableElts {
 		columns = append(columns, convertColumnDef(elt.GetColumnDef()))
diff --git a/pkg/sql2pgroll/expect/alter_table.go b/pkg/sql2pgroll/expect/alter_table.go
index 4f7aceea..d2cccff6 100644
--- a/pkg/sql2pgroll/expect/alter_table.go
+++ b/pkg/sql2pgroll/expect/alter_table.go
@@ -31,6 +31,30 @@ var AlterTableOp3 = &migrations.OpAlterColumn{
 	Down:   sql2pgroll.PlaceHolderSQL,
 }
 
+var AlterTableOp4 = &migrations.OpCreateConstraint{
+	Type:    migrations.OpCreateConstraintTypeUnique,
+	Name:    "bar",
+	Table:   "foo",
+	Columns: []string{"a"},
+	Down:    map[string]string{"a": sql2pgroll.PlaceHolderSQL},
+	Up:      map[string]string{"a": sql2pgroll.PlaceHolderSQL},
+}
+
+var AlterTableOp5 = &migrations.OpCreateConstraint{
+	Type:    migrations.OpCreateConstraintTypeUnique,
+	Name:    "bar",
+	Table:   "foo",
+	Columns: []string{"a", "b"},
+	Down: map[string]string{
+		"a": sql2pgroll.PlaceHolderSQL,
+		"b": sql2pgroll.PlaceHolderSQL,
+	},
+	Up: map[string]string{
+		"a": sql2pgroll.PlaceHolderSQL,
+		"b": sql2pgroll.PlaceHolderSQL,
+	},
+}
+
 func ptr[T any](v T) *T {
 	return &v
 }
diff --git a/pkg/sql2pgroll/expect/raw_sql.go b/pkg/sql2pgroll/expect/raw_sql.go
new file mode 100644
index 00000000..715eaddb
--- /dev/null
+++ b/pkg/sql2pgroll/expect/raw_sql.go
@@ -0,0 +1,9 @@
+// SPDX-License-Identifier: Apache-2.0
+
+package expect
+
+import "github.com/xataio/pgroll/pkg/migrations"
+
+func RawSQLOp(sql string) *migrations.OpRawSQL {
+	return &migrations.OpRawSQL{Up: sql}
+}