It's not ideal. If that's the only option, however, I would get backless counter stools that tuck under the island.

I have an oval kitchen table with 6 chairs. One of the chairs backs up to a cabinet 33" away from the table. When that chair is in use, I can still open the 14"-wide, not frequently used, cabinet doors behind the chair. Another chair backs up to a wall that is 28" from the table. Neither of the chairs is in a high-traffic location, and people for sure have to scoot in when someone wants to pass. It's not ideal, but it is a small price to pay for having a table that otherwise fits the space and seats 6 and sometimes 8-10 people.

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