According to the TN Legislature web site, the last action on the bill was the H. Speaker signed it and it has not been transmitted to Halem yet. The 10 day period doesn't begin until it is transmitted to him. http://wapp.capitol.tn.gov/apps/BillInfo/Default.aspx?BillNumber=SB1774
If Haslem vetos the bill while the legislature is adjourned, it is my understanding the legislature would have to come back for a special session to override. If they do not come back in session to override, the bill would be dead.
I did send an email to the bill sponsor, Sen. Mike Bell and he replied that he does not believe Haslem will veto the bill. (Wouldn't hold my breath, but he does think Haslem will sign it or just let it become law without his signature on it.) I am not in Mike Bell's district, but he did take the time to respond to my email.