Cook's torrid run continued as he failed with the bat against India in the first Test at Trent Bridge, but Robson is confident that his opening partner will be back to his best before the end of the summer.
"Runs are not very far away for him," the 25-year-old told Sky Sports News. "It's a tough game, it's easy to get out and a few things haven't gone his way in the last couple of games from what I can see.
"He's a really level character and things aren't necessarily happening as he would have like at the moment but I'm sure runs are around the corner for him."
Cook has scored just 83 runs in five Test innings this summer.