Australian Alcott, an eight-times Grand Slam singles champion, beat Japan’s Koji Sugeno 6-3, 6-4 in the semi-finals at the All England Club.

In the other last-four encounter, 2014 US Open champion Lapthorne of Britain defeated the United States' David Wagner 7-5, 6-4.

The final is scheduled to take place on Saturday (July 13).

Alcott is aiming to complete the career Grand Slam having won the first French Open quad singles title last month.

He, Wagner and Lapthorne were all out on court for last year’s quad doubles exhibition at Wimbledon. 

The men’s and women’s singles quarter-finals were also held today.

World number one Shingo Kunieda of Japan is through to the last four of the men’s singles after overcoming Britain’s Gordon Reid 6-1, 6-1.

Next up for him is Sweden’s Stefan Olsson, who beat Belgium’s Joachim Gérard 2-6, 6-4, 6-3 in the last eight.

Also through to the semi-finals is second seed Gustavo Fernández of Argentina after he defeated Britain's Alfie Hewett 6-1, 6-3.

Stéphane Houdet will be Fernández's penultimate-round opponent following the Frenchman's 6-7, 6-3, 6-3 win over compatriot Nicolas Peifer.

In the women's singles quarter-finals, top seed Diede de Groot claimed a hard-fought 7-6, 4-6, 6-1 victory at the expense of fellow Dutchwoman Marjolein Buis.

Awaiting her in the semi-finals is South Africa's Kgothatso Montjane after she overcame Germany's Sabine Ellerbrock 6-7, 6-1, 6-2.

The other last-four clash pits second seed Yui Kamiji of Japan against the Netherlands' Aniek van Koot.

Kamiji beat Britain's Jordanne Whiley 6-4, 6-1, while van Koot defeated Italy's Giulia Capocci 6-3, 6-2.

Wheelchair tennis action at Wimbledon is due to continue tomorrow.