The teenager is still recovering from the heavy knock he suffered but club sources are confident he should be back fit before the start of the new season.
MEN Sport understands a decision is yet to be made regarding Laird's future as United continue to contemplate whether or not they should keep him or loan him out this summer.
There is a belief Laird would be ready for a loan spell in the Championship if such a decision is made, though an exit will likely rely on whether or not United manage to reinforce at full-back this summer.
Ole Gunnar Solskjaer is keen to add Atletico Madrid right-back Kieran Trippier to his squad and the 30-year-old has made arrangements to relocate to Manchester permanently after entering the last year of his Atletico contract. The England international is hopeful of joining United before the transfer window closes in six weeks' time.