Both were injured in Saturday's 1-0 win against Everton at Goodison Park.
Midfielder Teemu was substituted at half-time with a hamstring problem while skipper and centre-back Ledley had to limp off in injury time after taking a blow to his foot.
With striker Mido also a doubt with the groin problem that ruled him out for Everton, Head Coach Martin has some thinking to do before the 12.45pm kick-off at the Lane.
Martin said: "Teemu had a hamstring problem at half-time and I didn't want to take a risk.
"Ledley King is injured and that's a disappointment because we want to have our best players on the board.
They are both very doubtful for United but we have other players to come into it as well, the only thing is we only really have a day to get everyone rested up and fit, but we'll do that."
On a positive note, defender Michael Dawson is available again after completing his two-match suspension.
PLEASE NOTE: Our Whites suite, situated on Paxton Road, will be closed on Monday for our match against Manchester United as this is a category A fixture.
Martin Jol reports that both Ledley King and Teemu Tainio are 'very doubtful' for Monday's clash against United.