The duo both missed Manchester United’s win over Paris Saint-Germain in midweek and will not return for the home match against Chelsea in the Premier League this weekend.
Axel Tuanzebe shone in the absence of Bailly during the Champions League win on Tuesday night while English midfielder Lingard also didn’t make the trip to Paris.
Solskjaer is hopeful both club captain Harry Maguire and teenage forward Mason Greenwood can return for the visit of Frank Lampard’s side this weekend, but confirmed the two injury setbacks.
“No, there is nothing that we’ve struggled with after the game,” Solskjaer told MUTV. “Of course, there’s tiredness of the travel and little aches and pains but I think everyone should be ready for the weekend.
“We’re still hoping Mason and Harry can be available in the squad. Of course, we have a training session today [Friday], so they’re going to have to go through that. Eric won’t be available. Jesse won’t be available so we’ll manage without them for a few weeks I think.”
Although neither Bailly or Lingard are considered key players for United at the moment their absences come as a blow to Solskjaer amid a packed fixture schedule.
As well as the match against Chelsea, United face RB Leipzig, Arsenal, Istanbul Basaksehir and Everton before the international break next month.