President Obama said he thinks ObamaCare, his signature healthcare legislation, will survive.

"I think it will," he said in an interview on ABC's "This Week." "It may be called something else. And as I said, I don't mind."

The president said he'd be fine if Republicans want to rename the legislation after some changes.

"If in fact the Republicans make some modifications," Obama said.

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"Some of which I may have been seeking previously, but they wouldn't cooperate because they didn't want to make the system work, and re-label it as Trumpcare, I'm fine with that."

The president said he is thinking about the millions of people — some of whom did not support him — who are now covered under ObamaCare. He referenced personal letters he's received from people about how important ObamaCare has been to them and their family.