The Cincinanti Reds have been busy upgrading at several spots the past month, and general manager Walt Jocketty revealed that he might not be done.

Finalized on Friday was the one-year contract for closer Ryan Madson. Still waiting to become official is the one-year deal with outfielder Ryan Ludwick. Last month, trades brought in starting pitcher Mat Latos and lefty setup man Sean Marshall.

The last item remaining on the offseason wish list is an extra infielder who can back up Zack Cozart at shortstop. To call the remaining free-agent market thin would be an understatement.

Jocketty is considering some trades rather than signing someone from the open market. He did not divulge who was being pursued.

“We’re still talking to a couple of clubs,” Jocketty said late Friday. “We’ll know something by next week, hopefully. I don’t think there’s a lot of guys out there free agent-wise.”

Of the free-agent shortstops, there’s only Ryan Theriot, 38-year-old Miguel Tejada and 2011 Red Edgar Renteria, whom the club doesn’t plan to bring back. In recent days, ex-Red Orlando Cabrera announced his retirement and Jack Wilson signed with the Braves.

Jocketty said that there had been some interest shown to Theriot.

“We’ve talked to him, had some conversations,” Jocketty said.

Asked if he was optimistic something could get done, Jocketty responded, “Not today.”

If the Reds sign no one and don’t pull off a trade, Jocketty said he would be comfortable going with what they already have. That would mean the rookie Cozart and Paul Janish would be the team’s shortstops, with Cozart on the inside track to start.