New boss Gary Haveron is craving his first since move into the Glentoran hot-seat.
But he admits his boys must be at their best on Saturday when they make the journey to Stangmore Park to face fast-improving Dungannon Swifts.
Rodney McAree's team are coming off the back of a thumping 6-1 midweek League Cup win, whereas the Glens were left kicking their heels as they were dumped out of the tournament by lowly Annagh United in the previous round -- although that was before Haveron took up office.
Glentoran are lagging in the bottom three in the league table -- just above ailing Carrick Rangers and Portadown -- and Haveron stresses they must starting points on the board.
"We got our first point at home to Ballinamallard last week . . . we were wanting all three, but it wasn't to be, however we must build on it," said Haveron.
"Points have been hard to come by . . . I'm talking about before my time. To be honest, we could have been out of it against Ballinamallard, but the boys showed a bit of character to come back in and get a point.
"We've got to go to Dungannon and give a good performance. They are one of the form teams and are difficult to beat on their own ground."
The Swifts approach the game in the best possible shape, having rammed home six goals against basement side Portadown last week before repeating the feat against The Mallards on Wednesday.
"W'e've hit a bit of form, the secret is keeping it going," said boss McAree.