It might appear as a mass storage device, in which case you can use it in the same way you would use a USB memory stick.
Plug the recorder in while you're in Linux, then see what the output is from 'dmesg' in a terminal. You should see something like this if the device can be used as a mass storage device:
usb 1-1: new full speed USB device using address 2
hub 1-1:1.0: USB hub found
hub 1-1:1.0: 1 port detected
usb 1-1.1: new full speed USB device using address 3
SCSI subsystem initialized
Initializing USB Mass Storage driver...
scsi0 : SCSI emulation for USB Mass Storage devices
Vendor: Sony Model: Storage Media Rev: PROL
Type: Direct-Access ANSI SCSI revision: 02
USB Mass Storage device found at 3
usbcore: registered new driver usb-storage
USB Mass Storage support registered.
SCSI device sda: 256000 512-byte hdwr sectors (131 MB)
sda: assuming Write Enabled
sda: assuming drive cache: write through
Attached scsi removable disk sda at scsi0, channel 0, id 0, lun 0
That output was actually for a Sony USB memory stick, so your dmesg output should be different.