Lovelady was designated for assignment by the Nationals on Sunday, Kyle Williams of TheBanner.com reports.
Jones did not factor into the decision in Sunday's 4-2 win over the Tigers, allowing one hit and no walks while striking out five over four scoreless innings.
Griffin went 2-for-4 with a home run and two RBI in Sunday's 4-2 win over the Tigers.
Montgomery earned the save in Sunday's 4-2 win over the Tigers, striking out two in a perfect ninth inning.
Chaparro went 3-for-4 with a pair of solo home runs in Sunday's 6-4 win over the Mets.
Tolman earned the save in Sunday's 6-4 win over the Mets, allowing a walk and one hit while striking out two over 1.1 innings.
Lowe is not in the lineup for Sunday's game versus the Tigers.
The Pirates optioned Sisk to Triple-A Indianapolis on Sunday, Kevin Gorman of TribLive.com reports.
Cruz (knee) is absent from the lineup for Sunday's game versus the Tigers.