Should Tampa Bay be concerned with Jameis Winston?

Jameis Winston has looked shaky in his first couple of games.  Dirk Koetter said after the game that he is very concerned with his second year quarterback.  

"He's not regressing, but we've got to take care of the football. I mean, we've got to take care of the football. We can't turn it over three times in a half. We just can't do that."

Jameis Winston currently is second in the league in interceptions.  Ryan Fitzpatrick of course is leading that contest.  Winston has thrown for 1,108 yards in a total of four games.  He has also thrown for 8 touchdowns.  If you just knew that, then you wouldn't think much of it.  However, it's the fact that he has thrown 8 interceptions.  

The question is, should Tampa Bay be nervous?  What do you guys think?