Louis van Gaal’s side are two points behind Group F leaders Wolfsburg after a 1-1 draw with CSKA Moscow in Russia on Wednesday night.
Schweinsteiger was replaced at half-time after Seydou Doumbia had given the home side an early lead before Anthony Martial levelled in the 65th minute.
The Germany international, who won the Champions League with Bayern Munich in 2013, couldn’t hide his disappointment with their stalemate.
— Basti Schweinsteiger (@BSchweinsteiger) October 22, 2015
Schweinsteiger has started all three of United’s Champions League games this season.
The 31-year-old has already racked up 13 appearances in all competitions following his reported £6.7m move to Red Devils from Bayern in the summer.
United welcome CSKA Moscow to Old Trafford in their next Champions League group-stage fixture in early November.
The Red Devils face Manchester City in the derby at home on Sunday afternoon.
MORE: Man United latest news
MORE: Arsenal latest news
MORE: Chelsea latest news
MORE: Liverpool latest news