Rangers 2 East Fife 0: Rangers manager Ally McCoist has expressed concern that his Scottish League One leaders are giving opponents a strong sniff of a chance too often at Ibrox.
But the second goal came at a crucial time, just after a great point-blank save from Cammy Bell to deny the visitors from going level.
After dropping two points in their last home match on Boxing Day, when Stranraer achieved a 1-1 draw, McCoist feels the second goal is all-important at third-tier level.
He said: "It's a little bit of a problem that we've had in the last couple of matches at Ibrox. We're getting the first goal - which is important - but strangely it seems the second goal is even more important.
"We're getting through the first goal okay, but we don't really look as comfortable in our general play.
"We felt we had good chances to add to the lead. East Fife then had some chances themselves.
"I think you can see calmness around the team when we get the second. We're not getting it early enough for the players or the fans."
The roof was raised at Ibrox for the only time of the afternoon when Fernando Ricksen took the applause of the 42,000 supporters at half-time.
The Dutchman, a former Rangers captain, has been in the city meeting fans as he continues to contend with motor neurone disease.
Rangers boss McCoist believes such a scenario puts the game into perspective.
"We spoke to Fernando before the match in the marble staircase and he was just extremely positive, genuinely happy to be here," McCoist said. "He was thrilled at the reception he was getting from the people that hold him dearly."