The Cleveland Browns got a start on signing their draft picks Wednesday and will look to finish up shortly.

The team has agreed to a 4-year deal with linebacker James Michael Johnson. The deal is reportedly worth $2.52 million, according to The Plain Dealer. The Browns picked Nevada LB Johnson with their second fourth round pick, No. 120 overall, which they obtained from the Denver Broncos when they traded down in the third round of the draft. Johnson's agent Scott Smith first reported the agreement via twitter.

4th Rnd LB James-Michael Johnson has agreed to terms on a 4-year contract with the Cleveland Browns

— Scott Smith (@XAMSports) May 9, 2012

The Browns have also signed fullback Brad Smelley. His 4-year deal is worth $2.14 million but with only a $45,890 signing bonus, according to Scout.com. Smelley was a seventh-round pick by the Browns at No. 247 overall. He's also capable of playing tight end, but is currently expected to play at fullback for the Browns.

The Plain Dealer also reported that the Browns are close to wrapping up most or all of their remaining draft picks. This includes third-overall pick RB Trent Richardson, citing an interview with 92.3 The Fan in which Richardson said that "he's close to signing his deal and hopes to have it done by Thursday."