The problem is the resolution of the laptop. 1600x900 is a bit too high for the HD 6520g integrated core. If you play at 1366x768 resolution, then you should be able to get at least 20+ FPS with low settings.
The other problem is that Skyrim is based on a totally new game engine, called Creation, that's been developed by Bethesda. No other game uses that game engine so there is no way to estimate possible performance.
Since Skyrim is also being developed for consoles, the PC requirements should be relatively low. That is unless Bethesda pulls a "Rockstar" with a very badly coded PC version. Since Skyrim is only a DX9 game, then that makes it easier to run as well. I believe it is supposed to use some low level features of DX11, but setting the game compatibility mode to "Windows XP SP3 mode" should disable DX11.
The good news is Skyrim will be releases on 11/11/2011 so if you buy the laptop and it can't play the game to your expectations, then you should be able to return the laptop. Check the return policy. If you can't afford to buy a more powerful laptop currently, then you need to save up money.