Tottenham midfielder Livermore and Sunderland striker Graham have made key contributions to the Tigers impressive start to the season after joining boss Bruce's newly-promoted side on year-long temporary deals in the summer.
Bruce admitted: "There is a possibility that Jake and Danny will be going back to their parent clubs, and that is something we just have to live with.
"I wouldn't be surprised if it happened, and we have to be ready for it. It's a concern."
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