"There could be some breaks so you just have to be patient, stay relaxed and not think too much about it," said Murray.
"This hasn't happened to me very often although I know Rafa had a bad experience with it last year. There were quite a few of his matches that were stopped. If you do get on court I think the most important thing is to try and not rush things."
The first eight days of the tournament have been blessed by exceptional weather but rain is now forecast for the rest of the week, leaving organisers with a potential headache.
But Federer, looking for a sixth straight Wimbledon title, appeared to believe he could beat the weather as he produced what Boris Becker described as "the best set of tennis in the championships".
Croatia's Ancic, the last man to beat Federer on grass 63 matches and six years ago, was expected to give the Swiss
supremo, who's not yet dropped a set at the tournament, his sternest test of the championships so far.
Yet Federer, when they finally got on to court more than 45 minutes late, made a nonsense of that prediction, losing only one point on his serve.
He crashed down seven aces and twice broke the serve of Ancic, who found himself constantly having to deal with the champion's returns around his ankles.
It was one game all game in the second set before the rain became heavier at 2.30pm and the players were forced off.