I agree that it could be bursitis of the pes anserinus bursa. This is where the pes anserinus tendon attaches to the tibia.

it is just as likely that the pes anserinus tendon could be irritated. This tendon connects to several muscles of the thigh. If you are not warmed up well before a speed (= velocity) workout, and you work these muscles hard, that could easily strain this tendon. (for example, the sartorius muscle which runs from the pes anserinus tendon to the hip).

In addition to ice on the sore area, you should be well warmed up before a hard run or speed workout and stretch your thighs very well after the workout.