The holder of 20 major singles titles, Federer, who is eyeing third successive Australian Open crown called the upcoming game a "once-in-a-lifetime" match-up which he is waiting for with excitement.
The 37-year-old will face off against rising star Frances Tiafoe in Tuesday's tie against the U.S., before playing Williams in the mixed doubles.
The 37-year-old Federer sent his 23-year-old opponent from Britain back to reality in a one-sided match lasting just 57 minutes.
Norrie and Boulter defeated Greece on the opening day of the tournament in Australia, with Norrie's shock 7-6 (8) 6-4 victory over world No. 15 Stefanos Tsitsipas paving the way for Britain's victory.
"This was a great start but obviously a long way to go here and in Melbourne", Federer said from Perth, Australia.
Norrie was saved total humiliation by saving two set points in the sixth game to get on the scoreboard and earn healthy applause from the near capacity crowd.More news: Voting begins in Bangladesh general election
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"It's nice that I'm feeling as good as I am and I played a wonderful match against Cameron".
Norrie seemed momentarily inspired as he gained two break points before Federer once again recovered to close out the first set in 31 minutes.
Great Britain made a winning start to the tournament on Saturday but their match with Switzerland got off to a bad start as Federer won the opening singles rubber in comprehensive fashion.
Leading into his clash with Federer, Norrie described it as a boyhood dream to face the 20-time grand slam victor.
Speaking earlier today at the Hopman Cup, Roger Federer said he doesn't know yet if he'll play the clay season.
And the Swiss pair then teamed up and completed victory with a 4-3 (4-0) 4-1 win in the mixed doubles.
Kerber ended a five-match losing streak against Garbine Muguruza with a 6-2, 3-6, 6-3 win.
The United States plays Greece in the only match on Monday.