Ugoh was drafted to replace Tarik Glenn, a three-time Pro Bowl left tackle who announced Tuesday that he will retire. The rookie's contract is for just less than $4 million with about 50 percent guaranteed, agent Alan Herman said.
Coe, a defensive back expected to add secondary depth, will receive a $138,000 signing bonus and league minimum salaries.
Ugoh had arrived at the team's training camp even though he had not yet signed the contract. Coe has yet to arrive. Players report to camp Sunday.
Third-round picks Daymeion Hughes, a cornerback; and Quinn Pitcock, a defensive tackle, remain unsigned.