And the Portuguese likes the Croat as a coach, believing he could even become friends with him as a person.
Indeed, the Chelsea man says he has had a good image of Bilic throughout his career. That image will be put to the test later today as West Ham host Mourinho's men at Upton Park, of course.
Mourinho is quoted as telling reporters on Friday afternoon: "As a coach, I like Bilic a lot. Since the Croatian national team period, to Besiktas and now to West Ham, I've had a very good image and idea about him.
"As a person, I don't know him very well. But I have the feeling that we could be friends."
All pending friendships aside, the two managers won't be best buds on Saturday afternoon as both look for all three points at Upton Park.
Based on the Premier League table, it's difficult to see West Ham losing to Chelsea. But, based on the Hammers' home form, the Blues are in with a shot if they can turn their win over Aston Villa into a renaissance.
Both managers, it seems, like to counterattack their way to glory rather than dominate games and it could be a fascinating tactical encounter in east London as a result.