The Spanish frontman has been out of action since December, during which time there has been plenty going on at the Liberty Stadium.
Michael Laudrup has been relieved of his coaching duties, managerial rookie Garry Monk has taken his place and a thumping derby victory over Cardiff City has lifted the Swans back into the top-half of the Premier League table.
Michu has sat all of that out with ankle ligament damage, but last season's 22-goal top scorer is ready to resume full training after being eased back into contention.
Monk said in the Daily Mirror: "The last two days, he has reacted well. He had a slight bit of swelling and that's the only thing which has kept him back.
"He had got to a good level with his rehab and was just about to go back into full training when his ankle swelled up a little bit.
"So we had to pull him out for a couple of days, but these last couple of days, he has been building it up again and he should be back in full training by Friday."
Swansea are due to face Everton at Goodison Park on Sunday, and Monk is looking forward to testing himself against Roberto Martinez - a familiar face who began his coaching career at Swansea after being presented with an opportunity to impress at a young age.
Monk added: "I think he was the same as me when he took over.
"He used it to his advantage because he knew the place so well. I also know the players well and you try and use that to your advantage.
"I've learned from every single manager I've had, and Roberto is one who has affected me really well. I've taken some good bits off him that I'd like to use.
"Of course, you have to change certain aspects, but you have to be yourself or the players will see right through you."