Leon Clarke had the first meaningful chance of the match on 20 minutes, but his effort from close range was saved.
Cauley Woodrow tried his luck for Fulham from outside the penalty box just minutes later, before Bakary Sako failed with a similar attempt.
Sako was unlucky not to break the deadlock on the half-hour mark when his effort from distance came back off the post.
Wolves continued to press on as the match progressed, with Lee Evans and Sakho both going close in the opening minutes of the second half.
Fulham created a couple of chances soon after, but Wolves ended the stronger of the two sides without scoring.