We report on a study of dimuon events produced in p{bar p} collisions at {radical}s = 1.96 TeV, using 0.9 fb{sup -1} of data recorded by the D0 experiment during 2008. Using information from the inner-layer silicon tracking detector, we observe 712 {+-} 462 {+-} 942 events in which one or both muons are produced in the range 1.6 < r {approx}< 10 cm, which is expressed as a fraction (0.40 {+-} 0.26 {+-} 0.53)% of the total dimuon sample. We therefore see no significant excess of muons produced a few centimeters away from the interaction point
