The Liverpool midfielder has been sidelined since sustaining a hip strain before the UEFA Super Cup final in Istanbul last month.
Keita returned to first-team training on Friday but Jürgen Klopp explained the trip to MK Dons is a more realistic comeback than today’s Premier League meeting with Chelsea.
“He is close but the matchday squad is not yet the target,” said the Reds boss. “It is a few sessions training with the team.
“We’d only put him in [at Chelsea] if we didn’t have enough players but I hope we will have enough players for the matchday squad. Wednesday is the target I will say and then we will see.”