Burleson went 1-for-4 with a solo home run, a walk and an additional run scored in Sunday's 7-4 win over the Rockies.
O'Brien recorded his 29th save Sunday against the Rockies, tossing a perfect ninth inning.
Dobbins is slated to start Monday's game against the Phillies in St. Louis.
McGreevy did not factor into the decision Sunday against the Rockies, allowing three runs on eight hits and two walks while striking out four over 5.2 innings.
Kimbrel agreed to a one-year contract with the Royals on Sunday, Jon Heyman of the New York Post reports.
Royals manager Matt Quatraro said that Garcia (hand) could resume his rehab assignment at Triple-A Omaha as soon as Wednesday, Pete Grathoff of The Kansas City Star reports.
Dobnak (2-1) took the loss against the Cubs on Sunday, allowing four runs on 10 hits and one walk in five innings. He struck out four.
Kimbrel and the Royals agreed on a major-league contract Sunday, Jon Heyman of the New York Post reports.
Royals manager Matt Quatraro said that Garcia (hand) could resume his rehab assignment at Triple-A Omaha as soon as Wednesday, Pete Grathoff of The Kansas City Star reports.
Jordan is out of the lineup for Sunday's game against the Rockies.
