"I want to be the Defence Secretary who deploys British troops to Ukraine – because this will mean that this war is finally over," Healey wrote in a comment published in the Telegraph newspaper on Saturday.
A 70-person headquarters has been set up as part of a multinational force for Ukraine that was unveiled in Paris in January, the minister said.
In early January, Paris hosted a meeting of the "coalition of the willing," which saw UK Prime Minister Keir Starmer pledge to establish military bases across Ukraine together with France in the event of a ceasefire.
The Russian Foreign Ministry warned that any scenario leading to the deployment of troops in Ukraine by NATO allies was totally unacceptable for Russia and could trigger a steep escalation.