Sunday’s derby saw the striker being sent off after a scuffle with Brown.
In fact, it was his fifth red of the season and as a result, he was handed a four-match suspension.
Ryan Kent will also miss the next game after the SFA found the winger lashing out at Brown.
The Scottish midfielder has been charged by the SPFL after finding that his celebrations amounyed to taunting.
His hearing is due on May 2 and he could be handed a potential two-match ban if he found guilty, thereby the 33-year-old could miss the next Old Firm clash.
SPFL have announced the post-split fixtures and the derby will happen on May 12, the week following Brown’s hearing.
Morelos has been outstanding for the Light Blues this season, scoring 29 goals, the most by any player in the Premiership.
And the run led him to earn an international call up for the friendlies against South Korea and Japan and got him playing time in both games.
However, the striker’s often been reprimanded for misconduct.
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Steven Gerrard finally ended his winless streak in the game against Hearts in the midweek Premiership fixture.
They will be facing Motherwell this Sunday at Fir Park.