The Kansas City Chiefs now won’t have to worry about reaching to choose West Virginia’s Geno Smith or Southern Cal’s Matt Barkley with the No. 1 pick in April’s NFL draft as the Chiefs will acquire former San Francisco 49ers starter Alex Smith.

Kansas City will trade its second-round pick in the 2013 draft — the second selection (No. 34 overall) in the round — as well as another conditional mid-round pick in 2014 to acquire Smith. Smith will play under terms of his remaining contract, which calls for a guaranteed base salary of $8.5 million in 2013. There has been no discussions between the Chiefs and Smith’s representatives about negotiating a new contract. The trade can’t be officially completed until March 12 when the 2013 league year begins, weren’t immediately available.

Smith, the 2005 No. 1 overall draft pick, lost his starting job to Colin Kaepernick while sitting out with a concussion but is considered a team leader and consummate professional. Before his injury, Smith had completed 26 of his last 28 passes — including going 18-of-19 for 232 yards, three touchdowns and no interceptions in a “Monday Night Football” win at Arizona on Oct. 29. He then sustained a concussion in the second quarter of the 49ers’ next game, a 24-24 tie against St. Louis on Nov. 11. Smith sat out the next game as Kaepernick dazzled in his debut as an NFL starter and would never sit again.

The Chiefs won two games during the 2012 season. With the addition of Smith and new head coach Andy Reid, you could see at least a six-game improvement in Kansas City. In K.C., Smith will enjoy great coaching and stability, two things he clearly benefited from after Jim Harbaugh and offensive coordinator Greg Roman arrived in San Francisco in 2011. During his first season with Harbaugh and Roman, Smith threw just five picks. Perhaps even more impressive was the fact that he threw a pick on just 1.1 percent of his throws, best in the league. Smith led the Niners to four fourth-quarter comeback wins that season, tying a franchise record held by Joe Montana.

The Chiefs are now likely to draft Texas A&M left tackle Luke Joeckel with the No. 1 pick in April’s draft. That could mean Geno Smith could slide to No. 7 for Arizona, which also was in talks to trade for Smith. The Cards badly need a new quarterback.

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