OpenReach said more engineers were expected to arrive on Tiree by ferry.
A spokesperson said: “They’ll set-up temporary connectivity for the community, while we work on a permanent fix.
“In the meantime, we appreciate the patience and understanding of everyone affected.”
Repairs are also being made to a sub-sea cable which brings internet services to Shetland.
The cable was damaged in rough seas on Friday in shallow waters about a mile off the coast of Orkney.
Communications company OpenReach said some broadband services in Shetland had been affected, including Talk Talk customers in Lerwick.