Sorry it took awhile to respond. Had to wait for account validation...
From the UT Sports website:
University of Tennessee Official Athletic Site - Gameday
Medically necessary items that must be carried in a specific bag must be checked and approved at Gates 9 or 21 (when facing the ticket office, just to the right)
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Nursing pumps would be considered a medically necessary item. Just go to Gate 9 or 21.
Hope that helps. We've been there, done that. We weren't embarrassed, just matter of fact. They were understanding, searched the bag and wished us well.
Go Vols!