Unhalfbricking is the third album by the British folk rock band Fairport Convention and their second album released in 1969. It is seen as a transitional album in their history and marked a further musical move away from American influences towards more traditional English folk songs that had begun on their previous album, What We Did on Our Holidays and reached its peak on the follow-up, Liege & Lief, released later the same year.

Fairport Convention are an English folk rock band, formed in 1967 by guitarists Richard Thompson and Simon Nicol, bassist Ashley Hutchings and drummer Shaun Frater. They started out influenced by American folk rock, with a set list dominated by Bob Dylan and Joni Mitchell songs and a sound that earned them the nickname "the British Jefferson Airplane". Vocalists Judy Dyble and Iain Matthews joined them before the recording of their self-titled debut in 1968; afterwards, Dyble was replaced by Sandy Denny, with Matthews later leaving during the recording of their third album.