Solanke was forced off in the first-half of the win at Wolves on the weekend.
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The Daily Mail says scans show a hamstring tear, which will rule him out for the rest of the season.
Despite their win at Molineux, Spurs remain in the bottom three of the Premier League, two points away from safety.
Solanke joins Xavi Simons in being ruled out for the relegation run-in. The Dutchman suffered an ACL injury also at Wolves.