First-choice left-sided defender Benjamin Mendy has been struggling with a bruised metatarsal, although there are also reports Guardiola banished him from training last week after becoming exasperated with his attitude.
Mendy had spent the previous night in London watching Anthony Joshua's world heavyweight boxing title fight against Alexander Povetkin.
Sources have told ESPN FC that it is not the first time the 24-year-old has been reprimanded for being late for training while he has recently given a 12-month driving ban.
"The players should be here and he knows it".
The pair sit together at the top of the Premier League table on 19 points after City defeated Brighton 2-0 before Liverpool secured a late equaliser to draw with Chelsea and preserve their unbeaten record. Manchester is under construction, the players arrive late.
"He's making the last steps", said Guardiola.
'I haven't spoken about that with Txiki, ' he said.
It was Sterling's fourth goal of the season and incredibly the winger's 46th goal for City since he last netted for England in October 2015.
"We dropped points at Wolves because they are a good side but in general, all the performance was quite good". Every day he's having treatment.
"People maybe did not expect him to play today - but he played really well in the last game and deserved to play again". "Now he's injured, he's not a problem with physical condition, he's quick. he's injured and when he's ok he's coming back and when he decides to play he's going to play".
However, Kevin de Bruyne is expected to return to training in the next few days.
'The same process [for Mendy]... he's going well, ' Guardiola added.
"He has to make his own career".
And, while Guardiola is not directly involved in negotiations, he is optimistic they will end successfully.
Although no specification to what kind of trouble this is has been forthcoming, it is clear that the French full back, for all of his undoubted potential, may not last at the club much longer if changes to his approach are not made.