diff --git a/create_lmodsitepackage.py b/create_lmodsitepackage.py
index 036e2a92d3..28605beea5 100755
--- a/create_lmodsitepackage.py
+++ b/create_lmodsitepackage.py
@@ -20,6 +20,27 @@
     return content
 end
 
+local function from_eessi_prefix(t)
+    -- eessi_prefix is the prefix with official EESSI modules
+    -- e.g. /cvmfs/software.eessi.io/versions/2023.06
+    local eessi_prefix = os.getenv("EESSI_PREFIX")
+
+    -- If EESSI_PREFIX wasn't defined, we cannot check if this module was from the EESSI environment
+    -- In that case, we assume it isn't, otherwise EESSI_PREFIX would (probably) have been set
+    if eessi_prefix == nil then
+        return False
+    else
+        -- NOTE: exact paths for site so may need to be updated later.
+        -- See https://github.com/EESSI/software-layer/pull/371
+        -- eessi_prefix_host_injections is the prefix with site-extensions (i.e. additional modules)
+        -- to the official EESSI modules, e.g. /cvmfs/software.eessi.io/host_injections/2023.06
+        local eessi_prefix_host_injections = string.gsub(eessi_prefix, 'versions', 'host_injections')
+
+       -- Check if the full modulepath starts with the eessi_prefix_*
+        return string.find(t.fn, "^" .. eessi_prefix) ~= nil or string.find(t.fn, "^" .. eessi_prefix_host_injections) ~= nil
+    end
+end
+
 local function load_site_specific_hooks()
     -- This function will be run after the EESSI hooks are registered
     -- It will load a local SitePackage.lua that is architecture independent (if it exists) from e.g.
@@ -153,10 +174,13 @@
 -- Combine both functions into a single one, as we can only register one function as load hook in lmod
 -- Also: make it non-local, so it can be imported and extended by other lmodrc files if needed
 function eessi_load_hook(t)
-    eessi_cuda_enabled_load_hook(t)
+    -- Only apply CUDA hooks if the loaded module is in the EESSI prefix
+    -- This avoids getting an Lmod Error when trying to load a CUDA module from a local software stack
+    if from_eessi_prefix(t) then
+        eessi_cuda_enabled_load_hook(t)
+    end
 end
 
-
 hook.register("load", eessi_load_hook)
 
 -- Note that this needs to happen at the end, so that any EESSI specific hooks can be overwritten by the site
diff --git a/easystacks/pilot.nessi.no/2023.06/eessi-2023.06-eb-4.9.1-2023b.yml b/easystacks/pilot.nessi.no/2023.06/eessi-2023.06-eb-4.9.1-2023b.yml
index a161619a32..12564d9cb9 100644
--- a/easystacks/pilot.nessi.no/2023.06/eessi-2023.06-eb-4.9.1-2023b.yml
+++ b/easystacks/pilot.nessi.no/2023.06/eessi-2023.06-eb-4.9.1-2023b.yml
@@ -22,3 +22,4 @@ easyconfigs:
   - GROMACS-2024.1-foss-2023b.eb:
       options:
         from-pr: 20439
+  - GDB-13.2-GCCcore-13.2.0.eb