Nope. Tracfone themselves won't allow a Tracfone sim in another Tracfone unless you order another sim for that Tracfone. Let alone another non Tracfone handset.
Each sim becomes permanently locked to the one handset that it is activated with and will ONLY work in that one phone.
You sim will never work in another Tracfone but the original. You have to order another sim if you want to upgrade handsets and that is only for another Tracfone. Which again in turn locks to the next Tracfone forever.
If it is that hard for their own phones, it is compounded for outside phones.
I would just get a paygo sim from Air Voice Gsm, O2, Jolt, other similar paygo gsm and put that in your unlocked phone.
There is just no way around it. No loopholes, no exceptions, no nothing.
Tracfones can be unlocked to run other sims, with a LOT of effort but Tracfone sims in non Tracfones are just plain impossible. And once a Tracfone is unlocked and flashed to generic firmware allowing other gsm sims, it is useless on Tracfone's network. Who knows what effect it has on the compatibility with the original or new Tracfone sim if you flash it back to Tracfone's "airtank " firmware.
These rules also apply equally to their sister brand Net10.
The only cross compatibility that Tracfone has with any other type of phone/card system is its related Safelink /Lifeline program that you have to meet financially disadvantaged Federal Standards to get.
Just get either another Tracfone and another sim with your same account or get another sim from another prepaid gsm carrier for your unlocked phone.
With Tracfone and Net10, there is no free and easy matching of sims and phones. Att's new gophone sims are like a six month version of Tracfone now locking the sim to the original phone only for half a year. But there are ways around that. With Tracfone, there is no way around it. Att probably took a lesson from Tracfone, who is one of their biggest reseller clients.
Amazing how they were able to take a relatively open standard like gsm and lock it down even more then even most cdma carriers do (though there are cdma Tracfones, that's another story).
I always laugh when I see foreign gsm handset sellers on ebay advertise their unlocked gsm handsets as being compatible with any gsm sim in the USA, Tmobile, Att, NET10, TRACFONE. If they really were, they'd be making a pile of money.