Worsfold, 32, joined Basford for a four-figure fee from Gainsborough Trinity last November, and scored two goals in 17 appearances.
But the two parties have reached an agreement to enable Worsfold to pursue opportunities elsewhere.
Chairman Chris Munroe said: “We as a club wish Ash all the best. It didn’t quite work out for him in his time with us but playing as a lone striker, we didn’t really get the best out of him.
“This is a good move for both but we would like to thank Ash for his service and his exceptional work rate.”
Boss Steve Chettle has signed forwards Marcus Marshall, Niall Towle and Wayde Hinds since the last ball was kicked.
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