The Saints spent £ 15 million to sign the Birmingham City striker last summer.
Adams had a wonderful final season at St Andrew’s, but his transition to the Premier League did not go as planned.
The 23-year-old has only played 725 minutes in the league this season and has failed to score a competitive goal on the south coast.
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He was linked to a move into the January window, with Leeds United supposedly accepting an offer of £ 19 million before the decision was overturned.
And now, according to Football Insider, the Saints are ready to accept offers on the order of £ 10 million when the window opens at the end of the season.
West Brom was also closely linked to Adams, who broke the record that Blues had received for a player on his departure.