Sure, but the mathematical impact is insignificant.
Sure the chance of a crit is "pretty much" doubled, but in absolute terms, the increase is only +4.75 percentage units. And even 10d6 (at 20th level) is, at 5%, only +7 damage on average, not worth your attention (especially at that level).
Instead you should focus on the way sneak attack is phrased: "Once per turn, you can deal an extra 1d6 damage to one creature..."
That "once per turn" means you can inflict sneak damage once on your turn, and once more on somebody else's turn. Suddenly you're talking about +35 damage per round.
So I'd forget about criticals if I were you and instead exploring ways to make your reaction trigger as many rounds as possible (such as from an Opportunity Attack or an warlord-like ability of one of your allies)
Of course, the best scenario would be if you somehow managed to gain legendary actions (like an Aboleth or Beholder for instance), sneak attacking your enemies after each of their turns!