Murray has not played a competitive tennis match since July, when he lost at Wimbledon to Sam Querrey, due to a hip injury.
In August, the British No 1 decided to cut short his season to work on being fit for the start of the 2018 season.
But Murray made his return to the tennis scene on Tuesday when he played Roger Federer in a charity event in Glasgow.
And the 30-year-old is continuing his recovery by practicing with Austria’s Dominic Thiem today.
Murray was with his coach Jamie Delgado as he put Thiem through his paces ahead of the season-ending tournament.
Tennis writer Carole Bouchard tweeted that Murray was limping but appeared in a better condition compared to his health earlier in the year.
She tweeted: “Still limping a bit when he walks but nothing like Wimbledon and the US Open so that’s a good thing to see!”
Murray, who has dropped to 16th in the world rankings, is expected to return to tennis at the Brisbane International in January.
The Australian Open, the first Grand Slam of 2018, is just two weeks later and Murray is hopefully he will be 100 per cent fit.
He said: “When I get back on the court again my best form might not come immediately but there’s nothing that’s making me think I can’t find it.
“I’ll come back when I’m ready and 100% fit. I believe I will get back to that.”