diff --git a/src/channel.c b/src/channel.c
index 3b8b5af..5ee05e3 100644
--- a/src/channel.c
+++ b/src/channel.c
@@ -1124,15 +1124,18 @@
     if (callback != NULL && *callback != NUL)
     {
 	if (partial != NULL)
-	    *cbp = partial->pt_name;
+	    *cbp = partial_name(partial);
 	else
+	{
 	    *cbp = vim_strsave(callback);
+	    func_ref(*cbp);
+	}
     }
     else
 	*cbp = NULL;
     *pp = partial;
-    if (*pp != NULL)
-	++(*pp)->pt_refcount;
+    if (partial != NULL)
+	++partial->pt_refcount;
 }
 
 /*
@@ -1279,7 +1282,10 @@
 	    item->cq_callback = callback;
 	}
 	else
+	{
 	    item->cq_callback = vim_strsave(callback);
+	    func_ref(item->cq_callback);
+	}
 	item->cq_seq_nr = id;
 	item->cq_prev = head->cq_prev;
 	head->cq_prev = item;
@@ -3923,14 +3929,24 @@
 {
     if (opt->jo_partial != NULL)
 	partial_unref(opt->jo_partial);
+    else if (opt->jo_callback != NULL)
+	func_unref(opt->jo_callback);
     if (opt->jo_out_partial != NULL)
 	partial_unref(opt->jo_out_partial);
+    else if (opt->jo_out_cb != NULL)
+	func_unref(opt->jo_out_cb);
     if (opt->jo_err_partial != NULL)
 	partial_unref(opt->jo_err_partial);
+    else if (opt->jo_err_cb != NULL)
+	func_unref(opt->jo_err_cb);
     if (opt->jo_close_partial != NULL)
 	partial_unref(opt->jo_close_partial);
+    else if (opt->jo_close_cb != NULL)
+	func_unref(opt->jo_close_cb);
     if (opt->jo_exit_partial != NULL)
 	partial_unref(opt->jo_exit_partial);
+    else if (opt->jo_exit_cb != NULL)
+	func_unref(opt->jo_exit_cb);
 }
 
 /*
@@ -4476,7 +4492,10 @@
 		++job->jv_exit_partial->pt_refcount;
 	    }
 	    else
+	    {
 		job->jv_exit_cb = vim_strsave(opt->jo_exit_cb);
+		func_ref(job->jv_exit_cb);
+	    }
 	}
     }
 }