I would ride on it only whilst I sourced a replacement. Once you've got through to the tube you risk it tearing/splitting.
@Velocio started
London Fixed Gear and Single-Speed is a community of predominantly fixed gear and single-speed cyclists in and around London, UK.
This site is supported almost exclusively by donations. Please consider donating a small amount regularly.
I would ride on it only whilst I sourced a replacement. Once you've got through to the tube you risk it tearing/splitting.