Officers expect the 25-year-old to get back to preparing during pre-season.
The forward is the Ibrox club's top scorer with 18 objectives this season and his nonappearance is a critical blow.
Officers face a battle to hold the Scottish Premiership title, meet Celtic in the Scottish Cup semi-finals and are in the last eight of the Europa League.
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They play Portuguese side Braga in their Europa League quarter-last first leg on Thursday, with the return in Glasgow one week from now.
Officers trail Celtic by six in the association, with six games remaining, and meet their Old Firm adversaries at Hampden on 17 April in the last four of the Scottish Cup.
Morelos joined the Ibrox club from HJK Helsinki for an undisclosed expense in 2017 and has scored 67 objectives in 125 association appearances.
Kemar Roofe assigned for Morelos in the loss against Celtic last end of the week yet terminated wide both of his side's best possibilities inside the crate after the hosts surrendered an early lead.
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