The private members Bill has moved up the pecking order on the list of debates and was expected to get its second reading at around 10.30am, following a debate on dog control.
Alongside Lord Grade of Yarmouth, Clement-Jones was also expected to get support from former Playschool presenter Floella Benjamin - now Baroness Benjamin of Beckenham - and campaigning journalist Baroness Joan Bakewell.
Tom Kiehl, policy advisor for the Lib Dem Lords, said the former BBC chairman and ITV executive chairman Lord Grade was understood to want to use his speech to help the Live Music Bill, which has proposed an exception from the bureaucracy of the Licensing Act for music venues hosting gigs for bands with audiences of 200 people or less.
"He is going to talk about it and also dwell a bit on his career," said Kiehl. But, the policy advisor was unsure what the Government proposed to say about the Bill, which had its first reading in the House of Lords last July.
At the end of 2009 the Government conducted its own consultation about small venues with audiences of less than 100 people. But, the Tourism and Heritage Minister John Penrose, who has responsibility for licensing matters, has subsequently sat on the findings despite telling Parliament in June he was committed to moving fast on the matter.
Other Lords expected to contribute to Friday's debate include Lord Redesdale, Lord Colwyn and Lord Teverson.
If the Bill passes through this stage it will be moved to the committee stage in the Lords in a few weeks time, where amendments - either proposed by opponents or Clement-Jones' himself - can be debated.
If that is successful it can pass to a third reading before moving to the Commons where it will have to be sponsored by an MP. It is likely Lib Dem MP Don Foster, who pushed the Bill under the last parliamentary session, would again support it.
Kiehl added that unlike the last parliamentary session, this time around the Bill has plenty of time to be debated.