Swansea have long been lauded for their attractive passing style, which Laudrup has tweaked to great effect since succeeding Brendan Rodgers last summer.
But there have been those who have questioned Swansea's ability to cope with the physical side of the game.
However, Swansea's improvement in that area has been shown by their excellent away record, and Saturday's home win over Stoke again showed the Swans have the ability to tough it out.
A Jonathan de Guzman double and Ben Davies' first senior goal sealed the victory, which was built on a solid defensive foundation.
Centre-halves Ashley Williams and Garry Monk coped manfully with the physical presence of Stoke forwards Peter Crouch, Kenwyne Jones and Cameron Jerome, with midfielder Ki Sung-yueng also impressing with his defensive performance.
With the result coming on the back of a gutsy goalless draw at Champions League hopefuls Everton, Laudrup is delighted to see the resolve being shown by his side, particularly with the second leg of their Capital One Cup semi-final against Chelsea looming.
Laudrup said: "It was great to see, I had concerns about the set-pieces but I thought we defended really well. Even the long balls up to Crouch and Walters and Kenwyne Jones, the guys at the back did great and the two centre-halves did very well against Crouch and the people around to pick up the second and third balls.
"In the last five or six games we have shown we can physically match sides. Last week we played Everton with (Marouane) Fellaini, (Nikica) Jelavic, (Sylvain) Distin and (Phil) Jagielka and did great. It shows we can cope when the game is played this way."