diff --git a/man/systemd.exec.xml b/man/systemd.exec.xml
index 3f06f564b3..e7d5e63c96 100644
--- a/man/systemd.exec.xml
+++ b/man/systemd.exec.xml
@@ -76,7 +76,13 @@
       <listitem><para>Units with <varname>PrivateTmp=disconnected</varname> automatically gain dependencies
       of type <varname>Wants=</varname> and <varname>After=</varname> on the mount required to access
       <filename>/var/</filename>, unless <varname>DefaultDependencies=no</varname> and/or
-      <varname>RootDirectory=/RootImage=</varname> are specified.</para></listitem>
+      <varname>RootDirectory=</varname>/<varname>RootImage=</varname> are specified. If
+      <varname>DefaultDependencies=no</varname> is specified, and a
+      <varname>RequiresMountsFor=/var/</varname>, <varname>WantsMountsFor=/var/</varname>,
+      <varname>After=var.mount</varname>, <varname>RootDirectory=</varname>/<varname>RootImage=</varname> are
+      not specified, the private mount on <filename>/tmp/</filename> is reused for
+      <filename>/var/tmp/</filename> by setting <varname>$TMPDIR</varname> appropriately.</para>
+      </listitem>
 
       <listitem><para>Units whose standard output or error output is connected to <option>journal</option> or
       <option>kmsg</option> (or their combinations with console output, see below) automatically acquire
diff --git a/src/core/unit.c b/src/core/unit.c
index dc158fb335..bb3430186c 100644
--- a/src/core/unit.c
+++ b/src/core/unit.c
@@ -4373,17 +4373,9 @@ static PrivateTmp unit_get_private_var_tmp(const Unit *u, const ExecContext *c)
                 if (hashmap_contains(u->mounts_for[t], "/var/"))
                         return PRIVATE_TMP_DISCONNECTED;
 
-        /* Check the same but for After= with Requires=/Requisite=/Wants= or friends. */
+        /* Check the same but for After=. */
         Unit *m = manager_get_unit(u->manager, "var.mount");
-        if (!m)
-                return PRIVATE_TMP_NO;
-
-        if (!unit_has_dependency(u, UNIT_ATOM_AFTER, m))
-                return PRIVATE_TMP_NO;
-
-        if (unit_has_dependency(u, UNIT_ATOM_PULL_IN_START, m) ||
-            unit_has_dependency(u, UNIT_ATOM_PULL_IN_VERIFY, m) ||
-            unit_has_dependency(u, UNIT_ATOM_PULL_IN_START_IGNORED, m))
+        if (m && unit_has_dependency(u, UNIT_ATOM_AFTER, m))
                 return PRIVATE_TMP_DISCONNECTED;
 
         return PRIVATE_TMP_NO;