Rushworth is on a straight loan at Coventry this season from Brighton.
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The England U21 international has played a key role in Coventry's top of the table form under manager Frank Lampard in this season's Championship.
TalkSPORT says Coventry want to hold onto Rushworth should they win promotion.
Rushword has kept eight cleansheets in 21 appearances for Coventry so far this term.