Could Gollum have been trying to prevent Sauron from obtaining the One Ring?

I'm not doubting that Gollum was corrupted by the ring and that he wanted it completely for himself. However, In the movie "The Two Towers", when Frodo and Sam arrive at the black gate, Gollum stops them from entering after the army. He eventually says something along the lines of "He wants it, always seeking, and the precious wants to go back to him."(I don't remember the exact line). So clearly, Gollum understands the danger reuniting Sauron and the ring would pose. So my question is, in Gollum's own narcissistic way, was he actively trying to keep the ring to himself so that it never fell back into the hands of Sauron? After all, he didn't learn what Frodo was actually trying to do until much later in their journey.