The person spoke on condition of anonymity because the teams have not announced the deal.
The teams agreed on the deal hours before the 4 p.m. trade deadline, but Smith’s move has been rumored for weeks with the Browns in a tailspin and looking to acquire draft assets for what appears to be another rebuild.
The Lions (7-1), on the other hand, are legitimate Super Bowl contenders and were looking to bolster their pass rush after Hutchinson broke his leg.
Smith resigned as a free agent with the Browns in March. He was initially brought to Cleveland to help Myles Garrett up front.
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