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Justin Edinburgh admitted his side were lucky to escape with a point on Saturday.
His Gills side twice led in the first half but it needed a fabulous finish from Jake Hessenthaler to level the game up at 3-3.
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The Gillingham manager said: “It was good play from Oldham and I thought they were a very good side. David (Dunn) has got them playing really well.
“We didn’t control the game after taking the lead and we were very loose in possession and that left us wide open.
“For long periods we were chasing the game and in the end we were quite fortunate to get the draw.”
Rory Donnelly put the Gills ahead after eight minutes but they were unable to build on that impressive start.
Edinburgh said: “It was a great first goal, really good play, that was us at our best but from then on we went within ourselves. That was really surprising.
“Whether it was legs or tiredness, this is not an excuse, but we have a lot of young boys that have played a lot of games and aren’t used to being under pressure at this end of the table.
“Also, respect to Oldham. Their manager told me it was the best they had played this season, and it’s a compliment to us, but we have to deal with it.
“As I will say to the players, not playing as well as we could do and certainly loose in possession of the ball, we’ve been able to grind a draw out and not lose a game.”
Edinburgh confirmed after the game that Doug Loft went off at half-time with an Achilles injury and Deji Oshilaja, who was expected to feature, has suffered a second knee injury. Both will be assessed on Monday.