The Spaniard, who was the Swans' top scorer last season with 22 goals in all competitions, has not featured for Michael Laudrup's men since damaging his ankle ligaments in the 1-1 draw at Norwich City last month.
|SWANSEA CITY LATEST
|8/1||Swansea are 8/1 with William Hill to be relegated|
While the 27-year-old is pleased with his progress, he will not rush himself back into action - despite the Welsh side struggling in his absence.
"I am improving a lot," Michu told the club's official website. "I have started running and although I'm in a little pain I am happy with my progress.
"I want to be play as soon as possible. I am desperate to play because I am happy when I am on the pitch.
"With this injury, though, you need to be careful and see how the ankle is every day so I don't want to say, 'I want to be back for this date or game'.
"If I am going to play I need to be 100 per cent and not just 60 per cent. I want to be fit and I want to play at my highest level, so we will wait until I am fully fit."