With all the travelling he's been doing, it's no surprise Prime Minister Anthony Albanese needed to make a quick detour to pick up a new suitcase on Friday.

Showing he still has a good eye for a bargain, Mr Albanese was spotted wheeling out a carry-on-sized suitcase he'd bought on the last day of Myer's stocktake sale in central Melbourne on Sunday.

The Samsonsite carry-on suitcase was on sale for $225, which meant Mr Albanese saved $150 from its normal purchase price of $375. 

Girlfriend Jodie Haydon also picked up something from the store as the prime minister looked harried to get his bit of shopping done on the run during what has been a jam-packed week that's included matches at the Australian Open, a visit to Alice Springs and dining with local MPs.

On Sunday morning, he posted a happy snap of himself having breakfast with Melbourne Labor MP Kate Thwaites. 

During the final, won by Belarusian Aryna Sabalenka over Kazakhstan's Elena Rybakina, Mr Albanese sat between Ms Haydon and an old political rival, former treasurer Peter Costello.

It seemed there was no carry over of animosity between the Labor leader and the sharp-tongued Liberal stalwart of the Howard Coalition governments with Mr Costello and Mr Albanese appearing very relaxed in each other's company.

Mr Albanese, who is a keen social tennis player, managed to fit in two nights watching the Australian Open tennis at the Rod Laver Arena.

On Friday he attended the men's semi-final between Serbian Novak Djokovic and American Tommy Paul before taking in the women's final on Saturday night. 

During the men's semi-final, Mr Albanese also showed his diplomacy by sitting with US ambassador Caroline Kennedy, JFKs daughter, who waved an American flag in support of her player.

Perhaps as a nod to his frequent flying, Mr Albanese also sat next to Virgin CEO Jayne Hrdlicka.  

Mr Albanese knocked back a beer and also sheepishly responded to a loud call of 'Albo give us a wave' that came from the stands, much to the crowd's delight. 

Already on that day, Mr Albanese had been out greeting people to celebrate Chinese Lunar new year.

The day before he had been in the central Victorian city of Bendigo touring the manufacturing site of Bushmasters.

He thanked those making the Australian-designed light-armoured troop carriers, which have been seeing action in the Ukraine after being donated to help Ukrainian troops ward off the Russian invasion. 

On Australia Day, Mr Albanese split his time between morning ceremonies in Canberra and the evening's concert on the steps of Sydney's Opera House overlooking the harbour.  

He embarked on that after his quick sprint to the centre of Australia, where he spent four hours in Alice Springs responding to the community's concern over spiralling crime rates, which has become a national talking point.

Mr Albanese has fielded criticism for his frequent trips overseas since become prime minister in May and earned the unflattering nickname of 'Airbus Albo' from his detractors.

Before his sudden trip to Alice Springs, Indigenous Country Liberal Party Senator Jacinta Price criticised Mr Albanese for frequently flying off to foreign destinations  while ignoring what was happening in the Northern Territory.

'You have made several overseas trips in the pursuit of supporting other nations in need yet I cannot understand why you continue to ignore the war zone in the heart of your own nation,' she wrote in a scathing Facebook post.