This season with the Steelers, he has played just 40 snaps in five games, only 11 of those snaps have come since week seven.
The team had not announced any transactions Tuesday as of 5 p.m. ET.
Harrison cleared waivers Monday making him a free agent. A few have already posted their initial thoughts of Harrison signing with the Patriots on their social media accounts. Many felt that Belchick signing former Jets linebacker Davis Harris fell in line with that, even as Harris has collected dust much of the season on the bench.
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Harrison hasn't been happy with his role with the Steelers this season and the team let him go in a roster move over the weekend. To make room for Harrison, the Patriots released linebacker Trevor Reilly.
Harrison's playing time dipped significantly this season.
It could set up a postseason match-up between Harrison and the Steelers. Adding intrigue to a possible signing is that the Patriots and Steelers both have 12-3 record as the top two teams in the AFC, and New England recorded a controversial 27-24 victory over Pittsburgh in Week 15.
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Pittsburgh cut Harrison on Saturday, Dec. 23.
Only Pittsburgh, with six, owns more Super Bowl wins.
Harrison would get a chance to face his former team if the Patriots and Steelers meet in the conference championship for a rematch of last year's title game, which New England won 36-17 on its way to its fifth Super Bowl title.
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