Yeah, that would probably be ideal, or perhaps take the kid on vacation somewhere they’ll get immersed. Watching media in your native language could also help, especially if you’re in a country where dubbing is the norm and they don’t get exposed to it organically.

In the meantime, you should probably take some pressure off. As you noted, your kids will learn English regardless, and if you keep speaking it they’ll probably learn it faster than their peers and with less accents. If you push too hard they might start fighting it, which won’t help their motivation at all.

One more data point: I have a friend whose parents are Chinese, but she was born in an English speaking country. She never speaks Chinese when addressing her sister who speaks both languages well, but always speaks Chinese with her mother, whose English is quite limited.

So I guess the solution is to expose them to people who don’t speak the local language, so they’ll need to speak English to be understood. How feasible that is depends on your situation.

I exclusively speak my native language with the kids, no matter what language they address me with. Whether the kids speak it back depends on the kids, and a lot of the time kids will optimize and speak the language everyone knows. I find that after my parents visit, the kids speak my native language more, because they pick up the conversations.

As long as the kids understand fine and say enough words that they know how to pronounce every word in your language without an accent, I wouldn’t try to push it on them. They’ll probably know enough that they can pick it up easily without any accent when they feel like they need it.