The TTA has said it has contacted all suppliers and requested that bookings remain in place.
All Teletext package holidays should continue as planned while flights will go ahead as they are ATOL protected.
If the firm goes bust, the TTA has said that customers should still be able to go on their holiday or receive a refund, covered by ATOL.
Customers with bookings with Alpharooms can claim a refund. The TTA has said all affected customers have been contacted.