Mourinho admitted that Rashford "started the game with a problem" and with the games coming thick and fast, Manchester United fans will be hoping that Rashford's injury is a slight one, especially with a match away to Arsenal at the weekend.
But the United boss will be keen to get an update on Marcus Rashford and Ashley Young, who both limped off after picking up knocks.
Rashford's form has been a recent positive for Mourinho, with vital goals in Europe against Anderlecht and Celta helping fill the void left by Ibrahimovic.
Celta's greater attacking intent was offering United more space on the counter-attack and Rashford didn't make the most of one promising opening after skipping past Gustavo Cabral.
Rainy and cool for Friday and Saturday
According to the National Weather Service since 1900, only 16 years have had measurable snow during the month of May. New rainfall of a tenth-of-an-inch to a quarter-inch possible, with higher amounts possible in thunderstorms .
Manchester United's bid to reach next season's Champions League suffered a blow following their recent 1-1 draw with Swansea, so the focus switches to the Europa League and a crunch semi-final first leg in Spain.
"I don't think he came here not expecting to play 55-60 games in a season".
Rashford has scored four times in under a month including a dramatic extra-time victor against Anderlecht in the quarterfinals, his form coming at a vital time with Zlatan Ibrahimovic out injured.
The first half saw Manchester United close Celta down in the middle of the park so the Spanish outfit were unable to play their usual open football.
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Celta Vigo had the first chance at goal in the 11th minute when Daniel Wass failed to connect his header to Nemanja Radoja's cross.
Until the goal United's finishing had been poor with Celtakeeper Sergio Alvarez thwarting them several times. Subs: Beauvue 6, Jozabed 6.
And Alvarez was called into action again moments later to parry Lingard's imprecise shot after he had been played in by Rashford's through ball.
"It could have been better, 0-1 is a short result and seeing Celta's trajectory in the Europa League they definitely deserve respect". However he was powerless to stop Rashford's 67th minute free-kick.
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But a month later, when all sports platforms continue to talk about who is going to get drafted, it just gets repetitive. The Rams also drafted TE Tyler Higbee previous year who played a lot, so this is a head scratcher to start the draft.
Marcus Rashford's strike was his 19th for @ManUtd in all competitions, but his first from outside the box.