Can an Interim Secret clearance be transferred between DoD contractors?

I started at a large DoD contractor two months ago with an interim Secret clearance. My full investigation is still ongoing and has not yet been adjudicated.

Yesterday, I received an offer from another, larger DoD contractor: over 20% higher compensation and substantially better benefits. They say they can transfer my interim Secret clearance to their company without interrupting my interim status.

Has anyone gone through this? Is that generally accurate? I’m concerned that changing employers mid-investigation could cause me to lose interim eligibility-and potentially put both jobs at risk.

Any insight would be appreciated.