Back
The result means Coventry sit 19th in the Premier League table, just one point above bottom side Sunderland but only one point from safety.
Fulham went close early on when Josh King crashed a shot against the top of the post before Alex Iwobi blazed the rebound wildly behind.
And the Cottagers felt they should have had a penalty in first-half injury time when Brandon Thomas-Asante pulled Calvin Bassey to the ground at a corner with the referee and VAR seemingly uninterested.
Coventry lost defender Bobby Thomas to injury around the mark as the Sky Blues defender trudged off the field with Stephen Mfuni on in his place.
The home side’s best chance came on 71 minutes when Mfuni rose highest to nod Jack Rudoni’s corner from the right towards goal only for Bernd Leno to smother Ephron Mason-Clark’s close-range effort.
However, Fulham eventually broke the deadlock on 80 minutes when Bobb jinked past Rudoni in the box and curled a shot into the bottom left corner of the goal from the right-hand side of the penalty area.
Coventry are next in action against Sunderland on Saturday, October 31 with kick-off at 3pm at the CBS Arena.