The Newcastle United forward has scored all three of his goals this season in the last five Gameweeks, also supplying an assist.
Spurs, meanwhile, visit St James' Park with a poor defensive record on the road in 2019/20.
The north London side have kept only two clean sheets in their 17 away matches.
Gayle is among four Differentials picked by The Scout ahead of Tuesday's 19:15 BST deadline.
The Magpies' frontman has averaged 5.8 points per match since the season restarted.
Armstrong's side entertain Brighton & Hove Albion on the back of two goals and three assists in his previous five appearances.
Noble also created eight chances in Gameweek 35+, more than any other player in FPL.
The Brighton winger has stepped up his form ahead of a visit to Southampton.
Trossard has scored against Norwich and Liverpool in the previous three Gameweeks, totalling 20 FPL points.