Brentford would consider a move to safe standing if legislation was changed that allowed their Lionel Road ground to have the facility for it.
Shrewsbury became the first English club to apply to introduce safe standing at their Greenhous Meadow stadium.
Because the Shropshire side are outside the top two divisions standing areas are allowed at their ground.
They aren't the first British club to do so as Scottish side Celtic opened a 2,900-capacity safe-standing section last year after they were granted a safe-standing licence by Glasgow City Council.
"More people are encouraged to sing and get behind the team but also it's a safer environment as well," Shrewsbury chief executive Brian Caldwell told BBC Sport.
"Our safety officer has been up to Celtic to see it in action and was very, very pleased with how safe and secure it was."
The Bees' Griffin Park ground is one of two Championship grounds, along with Burton's Pirelli Stadium, to currently have a terrace.
Legislation brought in after the Hillsborough disaster in 1989 prohibits standing areas in the top two divisions.
Clubs promoted from the third tier with a terrace are given a three year window to install seating to those areas.
This meant that the west Londoners would have had to install seating over the summer but with building work at their Lionel Road ground going on, Brentford were handed an exemption.
The Bees have previously stated that Lionel Road would be designed in a way to install safe standing as far back as 2012 but the rules will need to be changed.
When asked for comment regarding safe standing, Brentford responded with the following: “Legislation currently does not allow safe standing in the top two divisions. If that legislation were to change it is something Brentford would consider for our new Community Stadium.”
West Brom have previously said they are willing to use The Hawthorns as part of the pilot scheme for safe standing - though the same change in the law would be needed as for Lionel Road.
