That is currently what I am doing, and so far it is awesome.

I alternate lifting and swimming days. After lifting I run 10-15 mins at 60% pace though. I know a lot of you wouldn't advise that but that is what works for me.

Hell some people advocate doing cardio first thing in the morning before breakfast but I can't wake up that early so I don't do it.

I also lift not for max weight, but something i can comfortably rep 10-12x. Rest 30 seconds, then do it again. That way my heart rate stays up through the whole session.