In arguably their biggest game of the campaign, Rangers were beaten 2-1 by Hearts on Monday, despite taking the lead through Dujon Sterling in the first half.
The Gers suffered a second-half capitulation at Tynecastle as strikes from Stephen Kingsley and Lawrence Shankland moved the Jambos seven points clear of Rohl's men with four matches remaining.
Rangers have gone from being in the title race to standing little chance of winning it following back-to-back defeats, and it could have major ramifications on Rohl's future.
According to the Daily Mail, the German's position as manager looks "increasingly vulnerable" as the summer approaches, with the possibility of him being sacked now emerging.
Rohl has won 18 of his 25 league matches in charge of Rangers, but their poor start to the season under Russel Martin gave him a mountain to climb.
The 37-year-old almost reached the top of that mountain, although failing to do so could cost him his job, with Hearts the odds-on favourites to end their 66-year wait for a Scottish league title.