Bridge-Wilkinson will return for Saturday's trip to Stockport County in League One while Lumsdon is two weeks away from his long-awaited comeback from a back injury.
The statement, issued on Thursday, also highlighted the support the club are prepared to give the manager in the coming weeks.
"Within the last month [John Ward] has brought in three loan players from Premier League clubs in a bid to get our season back on track."
"Carlisle United are a club that has been through too many crises over the last decade or two but we remain confident that the current personnel at Brunton Park can lead us out of the present situation."
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