diff --git a/eb_hooks.py b/eb_hooks.py
index 7edd67b1fc..1f0adc8139 100644
--- a/eb_hooks.py
+++ b/eb_hooks.py
@@ -720,7 +720,7 @@ def post_sanitycheck_cudnn(self, *args, **kwargs):
 
         allowlist = ['LICENSE']
 
-        # read cuDNN LICENSE, construct allowlist based on section 2.6 that specifies list of files that can be shipped
+        # read cuDNN LICENSE, construct allowlist based on section "2. Distribution" that specifies list of files that can be shipped
         license_path = os.path.join(self.installdir, 'LICENSE')
         search_string = "2. Distribution. The following portions of the SDK are distributable under the Agreement:"
         with open(license_path) as infile:
@@ -743,6 +743,39 @@ def post_sanitycheck_cudnn(self, *args, **kwargs):
         raise EasyBuildError("cuDNN-specific hook triggered for non-cuDNN easyconfig?!")
 
 
+def post_sanitycheck_cutensor(self, *args, **kwargs):
+    """
+    Remove files from cuTENSOR installation that we are not allowed to ship,
+    and replace them with a symlink to a corresponding installation under host_injections.
+    """
+    if self.name == 'cuTENSOR':
+        print_msg("Replacing files in cuTENSOR installation that we can not ship with symlinks to host_injections...")
+
+        allowlist = ['LICENSE']
+
+        # read cuTENSOR LICENSE, construct allowlist based on section "2. Distribution" that specifies list of files that can be shipped
+        license_path = os.path.join(self.installdir, 'LICENSE')
+        search_string = "2. Distribution. The following portions of the SDK are distributable under the Agreement:"
+        with open(license_path) as infile:
+            for line in infile:
+                if line.strip().startswith(search_string):
+                    # remove search string, split into words, remove trailing
+                    # dots '.' and only retain words starting with a dot '.'
+                    distributable = line[len(search_string):]
+                    for word in distributable.split():
+                        if word[0] == '.':
+                            allowlist.append(word.rstrip('.'))
+
+        allowlist = sorted(set(allowlist))
+        self.log.info("Allowlist for files in cuTENSOR installation that can be redistributed: " + ', '.join(allowlist))
+
+        # replace files that are not distributable with symlinks into
+        # host_injections
+        replace_non_distributable_files_with_symlinks(self.name, allowlist)
+    else:
+        raise EasyBuildError("cuTENSOR-specific hook triggered for non-cuTENSOR easyconfig?!")
+
+
 def inject_gpu_property(ec):
     """
     Add 'gpu' property EESSI<PACKAGE>VERSION envvars and drop dependencies to
@@ -844,4 +877,5 @@ def inject_gpu_property(ec):
 POST_SANITYCHECK_HOOKS = {
     'CUDA': post_sanitycheck_cuda,
     'cuDNN': post_sanitycheck_cudnn,
+    'cuTENSOR': post_sanitycheck_cutensor,
 }
diff --git a/scripts/gpu_support/nvidia/eessi-2023.06-cuda-and-libraries.yml b/scripts/gpu_support/nvidia/eessi-2023.06-cuda-and-libraries.yml
index e0e47bf2d8..74615872d4 100644
--- a/scripts/gpu_support/nvidia/eessi-2023.06-cuda-and-libraries.yml
+++ b/scripts/gpu_support/nvidia/eessi-2023.06-cuda-and-libraries.yml
@@ -1,3 +1,4 @@
 easyconfigs:
- - CUDA-12.1.1.eb
- - cuDNN-8.9.2.26-CUDA-12.1.1.eb
+  - CUDA-12.1.1.eb
+  - cuDNN-8.9.2.26-CUDA-12.1.1.eb
+  - cuTENSOR-2.0.1.2-CUDA-12.1.1.eb