diff --git a/dace/transformation/interstate/sdfg_nesting.py b/dace/transformation/interstate/sdfg_nesting.py
index 1b9324546a..71d9e22aca 100644
--- a/dace/transformation/interstate/sdfg_nesting.py
+++ b/dace/transformation/interstate/sdfg_nesting.py
@@ -925,7 +925,12 @@ def _candidates(
                     continue
 
                 # For now we only detect one element
+                read_set, write_set = nstate.read_and_write_sets()
                 for e in nstate.in_edges(dnode):
+                    if e.data.data not in write_set:
+                        # Skip data which is not in the read and write set of the state -> there also won't be a
+                        # connector
+                        continue
                     # If more than one unique element detected, remove from
                     # candidates
                     if e.data.data in out_candidates:
@@ -941,6 +946,10 @@ def _candidates(
                         continue
                     out_candidates[e.data.data] = (e.data, nstate, set(range(len(e.data.subset))))
                 for e in nstate.out_edges(dnode):
+                    if e.data.data not in read_set:
+                        # Skip data which is not in the read and write set of the state -> there also won't be a
+                        # connector
+                        continue
                     # If more than one unique element detected, remove from
                     # candidates
                     if e.data.data in in_candidates: