The Germany attacker suffered a muscular injury against Newcastle on Saturday.
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Havertz was forced off in the first-half of the 1-0 win.
However, BBC Sport says Arsenal won't put a timeline on Havertz's recovery, though expect him to play a part in the final four games of the season.
But he will be touch-and-go for this week's Champions League semifinal first-leg against Atletico Madrid.
Since returning from injury in January, he has scored five goals in 19 appearances.