Ballymena United travel to Mourneview Park on Saturday to face Glenavon on the crest of a wave as they are unbeaten in ten matches.
A win or a draw would take that record to 11 but even after the 2-1 win against Crusaders at the Showgrounds - Jeffrey admits his side will have to be at their best against the Lurgan Blues.
“It’s a tough one. They are a good footballing team. They came here a few weeks ago and were trailing 3-0 and they came back to draw 3-3.
“They are a talented side and they have been in Europe the last couple of years and they recently won the Irish Cup.
“If you are talking about contenders for the league title, they are contenders.
“If they start to say they are not there, then that is a load of rubbish.
“Without any shadow of a doubt they are contenders.
“We are top six trying to get there.
“That is what we are contending with.
“And if Adrian Teer or Gary Hamilton are saying that they are not league challengers, they are having a laugh.”
And after Saturday’s win Crusaders boss Stephen Baxter says United are now contenders for the title - but Jeffrey dismissed that notion.
“We are not doing a Leicester City, no chance. I appreciate Stephen saying that and it is very kind but there is not a chance in the world, not a chance. And that is not me playing it down.
“We are making progress and I know where we want to be.
“But all you have to do is look at the stands against the Crues. We had the kids out before the game.
“This is not just about the first team. This is about the town, the community, the kids and this is hopefully building something that will be here for a long time.
“We are taking baby, baby steps at the minute.”