Dyche, 23, featured for Leeds as a youngster before continuing his youth career at Scunthorpe United.
He has since featured for Ashton United, Boston United and Guiseley, before joining Hyde.
He said: “Ossett is a good club with a good set up and a team that don’t deserve to be where they are in the table, I’d like to help them achieve a league position they deserve.
"I’m an attack minded player who is comfortable with both feet, I have a good pace about me and like to get in behind the oppositions back line. I’m good in the air and can be a physical presence."
Manager Wayne Benn added: “We are really pleased to confirm Jack’s signing, he is a great addition to the squad, we are very much looking forward to working with him.
“It is never easy to persuade players to drop down a level, but he has done his homework about the management team and the club in general and clearly feels that this is an environment he can thrive in. He’s proven himself at higher levels than ours and in that respect we are lucky to have him.
“In difficult times this is really positive news for everyone connected to the football club and I’m sure when we return from lockdown Jack will be given a warm welcome by all."
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