Before becoming elected to the Scottish Parliament he worked for Jim Murphy MP and Ken Macintosh MSP.

[2][3] He did not contest the 2012 Renfrewshire Council election, with one of the seats in the ward won for Labour by his father Derek.

He was defeated by the incumbent SNP MSP George Adam, but was re-elected on the West Scotland regional list.

[11] He is currently Labour's Shadow Cabinet Secretary for Constitution, External Affairs and Culture in the Scottish Parliament.

[12] In February 2018 Bibby received 150 bottles of beer worth approximately £450 from Tennent Caledonian Breweries to promote his proposed Tied Pubs (Code and Adjudicator) (Scotland) Bill.