H says ready to work on relationship, now what?

[MrBond]

The part about him going back to the OW right after he says he wants to work it out with you. It's especially tempting when they work together. Sometimes I get chastised for recommending that the cheating spouse should find another job away from the OP. But why risk the temptation?

You went through what they call false starts. He's still questioning what he wants or can do. That's why equally important is to get professional counseling. You and especially him, need guidance on how to eliminate the problem rather than sweeping it under the rug.