This forum is focused mainly on going the other direction, bringing US citizens to live with their spouse in the UK. The US requirements for spousal visas & work are a bit tricky and different than the UK's. (Unsure if you're both in the US or UK currently, and his visa status in the US which makes a huge impact on the suggestions we give).
Most jobs here require authorization to work, which in the most general sense means citizenship or a green card, or another work visa. Some companies will sponsor visas, but they often use intercompany transfers vs H1B due to the limited # of visas granted each year, so if his UK employer has a US office that could be a possibility.
If you give some more details on visa status and industry we might be able to give more help!
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