diff --git a/tests/test-dirs/document/issue1513.t b/tests/test-dirs/document/issue1513.t
index b9e18604f9..1a3e2e7744 100644
--- a/tests/test-dirs/document/issue1513.t
+++ b/tests/test-dirs/document/issue1513.t
@@ -21,7 +21,7 @@ FIXME: We should not rely on "fallbacking". This requires a compiler change.
   > -log-file - -log-section locate \
   > -filename main.ml <main.ml 2>&1 | 
   > grep "Uid not found in the cmt table"
-  Uid not found in the cmt table. Fallbacking to the node's location: File "naux.ml", line 2, characters 2-5
+  Uid not found in the cmt table. Fallbacking to the node's location: File "naux.ml", line 2, characters 2-3
 
 FIXME: expected "B Comment"
   $ $MERLIN single document -position 2:13 \
diff --git a/tests/test-dirs/locate/context-detection/cd-test.t/run.t b/tests/test-dirs/locate/context-detection/cd-test.t/run.t
index 34e4cce900..8ac17c8d9f 100644
--- a/tests/test-dirs/locate/context-detection/cd-test.t/run.t
+++ b/tests/test-dirs/locate/context-detection/cd-test.t/run.t
@@ -7,7 +7,7 @@ Trying them all:
       "file": "$TESTCASE_ROOT/test.ml",
       "pos": {
         "line": 1,
-        "col": 0
+        "col": 9
       }
     },
     "notifications": []
@@ -109,7 +109,7 @@ FIXME we failed to parse/reconstruct the ident, that's interesting
       "file": "$TESTCASE_ROOT/test.ml",
       "pos": {
         "line": 1,
-        "col": 0
+        "col": 9
       }
     },
     "notifications": []
diff --git a/tests/test-dirs/locate/issue802.t/run.t b/tests/test-dirs/locate/issue802.t/run.t
index 73505e98d8..355a215325 100644
--- a/tests/test-dirs/locate/issue802.t/run.t
+++ b/tests/test-dirs/locate/issue802.t/run.t
@@ -15,7 +15,7 @@ Test jumping from a normal constructor:
       "file": "$TESTCASE_ROOT/error.ml",
       "pos": {
         "line": 1,
-        "col": 0
+        "col": 9
       }
     },
     "notifications": []
diff --git a/tests/test-dirs/locate/locate-constrs.t b/tests/test-dirs/locate/locate-constrs.t
index 6df036bc09..b7bcf81191 100644
--- a/tests/test-dirs/locate/locate-constrs.t
+++ b/tests/test-dirs/locate/locate-constrs.t
@@ -3,46 +3,47 @@
 **/
 
   $ cat >constr.ml <<EOF
-  > type t = A of int |  B
-  > let foo : t = A 42
+  > module C = struct type t = A of int |  B end
+  > let foo : C.t = C.A 42
   > EOF
 
-  $ $MERLIN single locate -look-for mli -position 2:14 \
+We expect 1:27
+  $ $MERLIN single locate -look-for mli -position 2:18 \
   > -filename ./constr.ml < ./constr.ml | jq '.value'
   {
     "file": "$TESTCASE_ROOT/constr.ml",
     "pos": {
       "line": 1,
-      "col": 9
+      "col": 27
     }
   }
 
 FIXME: this is not a very satisfying answer. 
-We could expect 1:9
-  $ $MERLIN single locate  -look-for ml -position 2:14 \
+We expect 1:18
+  $ $MERLIN single locate  -look-for ml -position 2:12 \
   > -filename ./constr.ml < ./constr.ml | jq '.value'
   {
     "file": "$TESTCASE_ROOT/constr.ml",
     "pos": {
       "line": 1,
-      "col": 0
+      "col": 18
     }
   }
 
 With the declaration in another compilation unit:
   $ cat >other_module.ml <<EOF
-  > let foo = Constr.B
+  > let foo = Constr.C.B
   > EOF
 
   $ $OCAMLC -c -bin-annot constr.ml
 
-  $ $MERLIN single locate -look-for mli -position 1:17 \
+  $ $MERLIN single locate -look-for mli -position 1:19 \
   > -filename ./other_module.ml < ./other_module.ml | jq '.value'
   {
     "file": "$TESTCASE_ROOT/constr.ml",
     "pos": {
       "line": 1,
-      "col": 18
+      "col": 36
     }
   }