TSM's roster is interesting, but I don't like the chances for anyone to come over from TiP, especially not Adrian. Doublelift will have pretty high standards for a Support player after playing with Aphro for so long, and while Adrian's good...he ain't that consistent. Piccaboo falls into the same scenario as Adrian, but makes even less sense since he is still signed to a Korean team. Rush is still pretty new to the scene; Impulse and TSM are two very different teams, and the still-developing Rush is likely going to have a very rough go at it in such a change of atmosphere, especially with a lack of Korean-speakers to mingle with.
As for a top laner (if they haven't decided on one already), it will most likely be someone from the Challenger series, like InnoX or Solo.
The position of Jungler is still very much up in the air; there's no telling what direction they will want to go here. I presume they're keeping the connections with EU wide open in the hopes that maybe there's someone whom they can bring in to retain the synergy with Bjergsen.
Support, well my money's on the veteran Doublelift having a say on who gets to join him in the bot lane. To that end, my money's on TSM pursuing Xpecial's services once more. There is also a wealth of talent that is up and coming in Support, but they will have to compete with both Renegades and TAO for that position.