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Worsfold, 29, has agreed to join Basford with just six-months left on his contract at the Holy Blues.
Since signing for Gainsborough under Dominic Roma, the forward has scored 53 goals in 143 appearances, being Trinity’s top-goal-getter in each of the last three seasons.
"I would like to thank the fans, staff and the chairman for the past four years," he said.
"I have loved every minute of it at Gainsborough Trinity. Stuff like this happens in football and new managers come and go.
"If you’re not in the managers plans and a team like Basford approach you, the decision is kind of made. I know Trinity will be back up where they belong in the near future."
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