Well isn't that just too cute.
According to research conducted by Lex Vehicle Leasing, the majority of company car drivers receive no safety guidance about transporting pets. This may be because companies don't want pets in their cars, of course, but as LVL points out, "with road safety and duty of care remaining a core political objective, fleet managers have an added incentive to take the transport of pets seriously".
There's another nice article on the topic here.
Buckle up Fido, folks. Not only will it keep the poor guy from bonking around in the car while you drive, he and everyone else will be much safer.