The Netherlands international left the Liberty Stadium with his right ankle in a protective cast after he suffered an injury scare during a 2-1 loss to Swansea City on Saturday.
The 31-year-old has struggled to produce his trademark prolific performances this season despite playing under his former Dutch head coach, Louis van Gaal.
Whilst Van Persie isn’t scoring as frequently as United supporters would like, Schmeichel still feels the striker would be a big miss if he has suffered a serious injury.
“Robin is a world-class striker,” Schmeichel told Sky Sports News.
“Even if he isn’t scoring, the influence that he has in the team is invaluable. You always want your best players to be available for selection. If he isn’t available, it is a problem for Louis van Gaal.
“Fortunately, United have good players that aren’t playing at the moment. If Robin isn’t playing, hopefully other players will step up to the challenge.”
Van Persie has scored 10 goals in 24 Premier League appearances for the 20-time English champions this season.
However, the Dutch striker, who moved to Old Trafford in a £24m deal from Arsenal in 2012, have scored two goals in his last 10 games in all competitions.
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