Logan Davidson's two-run homer in the seventh inning gives the Tigers the lead.
The Tigers and Spartans square off in an elimination game in the Clemson Regional.
Clemson faces UNC Greensboro in an elimination game on Sunday at 1 p.m.
Clemson wins its 40th game of the season.
Reed Rohlman tabbed with second-team All-America honors by Collegiate Baseball.
Clemson hosts UNC Greensboro on Friday at 7 p.m., on ESPN3.
Clemson is looking forward to this weekend's regional at Doug Kingsmore Stadium.
Tiger baseball is hosting Vanderbilt, St. John's and UNC Greensboro from June 2-5.
Tigers ranked in the top 15 by at least one poll for all 16 weeks in 2017.
Vanderbilt, St. John's and UNC Greensboro round out the Clemson Regional field.
The other three teams in the Clemson Regional will be announced Monday at noon on ESPN2.
The Tigers await the NCAA Tournament Selection Show on Monday.