Mike Brown, Managing Director of London Underground told ITV London, "I'm hoping we can meet in the middle. But we've got to hear from them - saying no no no or storming out of meetings clearly doesn't allow for that dialogue."
Unions and tube bosses are due to meet at conciliation service ACAS tomorrow.
Transport for London are operating a limited service on most tube lines, but they advise to check before you travel.
Union leaders were under pressure tonight to call off the strike after it emerged new peace talks would take place on Friday.
Bob Crow has told ITV News that he does not use ticket offices at London Underground stations.