James missed Saturday's win at Wolves due to injury, but Rosenior is confident the issue isn't serious.
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He said: "Reece is so close and should be fit for Tuesday. At the moment, with the games we have, everything is being taken day by day. He's really, really close – there's no major problem at all – and it would be great to have him available for Tuesday.
"It's a pain management issue and to be honest, Reece was out running (at Cobham) yesterday. But it just wasn't right.
"Again, we're in the midst of a really, really difficult period of games, because of the number of games that we've got. Hopefully, he comes back fully fit and fully rested for Tuesday."