Home Affairs Minister Peter Dutton has claimed Australia's war veterans want the "medevac" laws scrapped in a direct appeal for the support of Tasmanian senator Jacqui Lambie.

Mr Dutton said he and Finance Minister Mathias Cormann, the leader of the government in the Senate, had put a "compelling case" to Senator Lambie to support repealing the laws, but respected her preference to wait for a forthcoming committee report before she decides.

"I believe the vast majority of veterans would want us to abolish this law": Home Affairs Minister Peter Dutton. Credit:AAP

After praising Senator Lambie, an army veteran, as a long-standing ally of Australia's war veterans, Mr Dutton said most veterans would want her to end the medevac regime.

"In a way she looks through the lens of what would a veteran think or what would a veteran want me to do in relation to these matters," he told 2GB radio.