The Argentine has missed City’s previous nine games after having initially been forced to self-isolate after coming into contact with someone who tested positive for Coronavirus, before then testing positive himself.
However, our all-time record scorer was able to take some part in Monday's training session as he continues his carefully managed recovery and training programme with the 30-year-old set to progressively join first team sessions.
“Yesterday he trained with the group for 10 - 15 minutes and later he did some part alone. Day by day he is feeling better,” revealed the City manager.
But quizzed on when Kun would be able to return competitive action, the boss added: “Not yet.”
Asked if there were any other injury concerns and whether he was considering making changes for the trip to South Wales, Guardiola added: “No. We have training this afternoon, so we have to wait.
“We will travel with the team of fit players. We need some players from second team, it will happen.”
Tomorrow’s match sees City return to the Liberty Stadium where we played a thrilling FA Cup quarter-final in 2019, fighting back from 2-0 down to seal a dramatic 3-2 success thanks to an 86th minute Aguero winner.
The Swans are flying high in the Championship and currently lie in third place in the table and the boss said he was no doubts that they would present another tough test.
“Swansea have a tradition of good managers. Michael Laudrup was there, Roberto Martinez, Graham Potter and now Steve Cooper.
“It was a difficult game (in 2019). I don’t expect a different game than when we suffered a lot to go through.
“I know Swansea’s consistency defensively. They are solid, don’t concede chances or goals. They have the quality to play upfront.
“It will be a real difficult test and we will have to do a good performance. I don’t expect any different tomorrow.”