The result means the league table remains just as congested in the bottom half and Hill insisted the Warriors were looking to overtake teams and not look over the shoulder as they continue to build up points.
He said: "We are disappointed we have lost at Exeter, but in the last four Aviva Premiership games we have picked up points.
"We got a point against Wasps, two against Newcastle, four against Bath last weekend and a point down here.
"If every game we can fight hard to get any point we can then that is going to bode well.
"The players never gave up under an Exeter onslaught today and we made it very hard for them before Andy Goode remained very calm to kick that late penalty.
"We are looking up," he insisted. "We have gained some momentum with the points we have picked up in the last four games.
"If we can keep putting the effort in, make sure we prepare thoroughly every week and put huge physical commitment in, then we will start to pick up those wins.
"Away from home is always going to be difficult for us in our first year back in the Premiership. But if you can pick up points away from home it makes a big difference."
Worcester now turn their attention to the Amlin Challenge Cup double header with Bucharest Wolves and Hill admitted injuries biting in the pack would leave him with little selection choice.
"We simply haven't got the luxury of taking players out for the Amlin Challenge Cup now," he added.
"We are three props down and now four back rows down. We are going to have to call on the same players to go to Bucharest.
"In the backs we have plenty of options, we could change the whole back line, but that is not where the problem lies.
"Ideally I would love to give them a rest over the next two weeks before we play Leicester Tigers. But most of these lads are going to have to keep going."