Murray returned to the court for the first time since Wimbledon after a hip injury cut his season short.
Murray has targeted a return in Brisbane at the turn of the year and hopes to be fully fit for the Australian Open.
And his coach Jamie Delgado believes he is on course, and says he suffered no adverse effects from the exhibition match with world No2 Federer.
“His body recovered well after that. We are confident and hopeful that he will be back to his best,” Delgado told Sky Sports.
“We are in the process now of getting ready for a few weeks to get a pre-season block together to get some good players to practise with and pick up that level.
“The plan is to start in Brisbane in the first week of the year, there is a week’s gap between that and the Australian Open.”
Murray has dropped to 16th in the world having not played for over 100 days and will face a tough draw in Australia.
But Delgado said Murray’s spirits were lifted after meeting his fellow professionals in London at the ATP Tour finals.
He said: ”It was great to be back and see all the guys again and also to give him the feel of coming to a tennis event. He hasn’t been to one for a few months.
“He is missing that a lot. He will need that, practising with those guys over the next couple of months to get him ready for next year.”