The currency has strengthened since mid-December in part due to the Omicron variant of COVID-19 proving less disruptive to the economy than originally feared, analysts have said, with the government only lightly tightening restrictions so far.
Sterling was heading for a 0.4% gain versus the dollar for the week and 0.6% up against the euro.
On the day, the pound was up 0.3% versus the dollar at $1.35720.
Sterling's gains partly reflected a weaker dollar across the board, after a December U.S. jobs report missed expectations.
Against the euro, the pound fell 0.2% to 83.585 pence per euro.
Economic survey data this week showed Omicron has had an impact. Survey data for Britain's construction sector on Friday showed growth cooled in December, falling to a three-month low.
A similar Purchasing Managers' Index (PMI) survey for the services sector on Thursday showed the biggest loss of momentum since the country was last in lockdown, falling to a 10-month low in December.
The pound has nonetheless broadly maintained momentum versus the dollar, rising from a one-year low of $1.31615 hit in December.
Investors will closely watch to see if the Bank of England will further tighten policy, with a further interest rate rise expected as early as next month after a surprise hike in December.
(Reporting by Iain Withers; Editing by Andrew Cawthorne and David Evans)
