JBL Bar 5.1 subwoofer pair another soundbar via bluetooth transmitter 5.0

Hi,
I have a faulty JBL Soundbar.  The Wireless Subwoofer is in good working condition.  I don’t  intend to repair the soundbar as it costs more.  I want to reuse the wireless Subwoofer.  Can I use a Bluetooth Audio transmitter to pair with other brand Soundbar(For example Bose Soundbar 500) to JBL Bar 5.1 Subwoofer?? Your advice will be of great help. Thanks