Defenders David Luiz and Gary Cahill are set to train ahead of Chelsea's Champions League final against Bayern Munich on Saturday.
But Florent Malouda was described by caretaker manager Roberto Di Matteo as "touch and go" for the Allianz Arena showdown.
Di Matteo said on Sunday that Luiz and Cahill's fight to be fit would "probably" go right up to the day of the game, so their attempt to train on Tuesday was a huge boost for the Blues.
"Gary and David are going to try to train with us today," Di Matteo said of the centre-back pairing, who have both been out for around a month with hamstring injuries.
Malouda failed to complete the first half of Chelsea's final Barclays Premier League game of the season against Blackburn on Sunday having strained a hamstring.
Di Matteo said: "Flo, we'll still assess and it's going to be touch and go for him to be available for Saturday."