debian externall usb hdd extremly slow

I have a problem with write/read speeds of exteall HDD coected via USB 3.0 bridge to my Debian - powered computer (actually, it's HP t5710 Thin Client). When I coect this HDD to my windows PC it works like a charm, and write/read speeds are as high, as I would suspect they will be. But, when I coect this disk to Debian machine (via USB 2.0 port, since there are no 3.0 ports on the machine) speeds are extremly slow (I'm talking USB 1.0 slow - maximum buffered disk read recorded with hdparm is about 1MB/sec). In my dmesg I found this:

[ 4580.436091] usb 2-2: new full-speed USB device number 2 using ohci-pci
[ 4580.643018] usb 2-2: not ruing at top speed; coect to a high speed hub
[ 4580.661116] usb 2-2: New USB device found, idVendor=174c, idProduct=1153
[ 4580.661148] usb 2-2: New USB device strings: Mfr=2, Product=3, SerialNumber=1
[ 4580.661164] usb 2-2: Product: AS2115
[ 4580.661180] usb 2-2: Manufacturer: ASMedia
[ 4580.661196] usb 2-2: SerialNumber: 00000000000000000000
[ 4580.671480] usb-storage 2-2:1.0: USB Mass Storage device detected
[ 4580.680674] scsi4 : usb-storage 2-2:1.0
[ 4581.689044] scsi 4:0:0:0: Direct-Access     ASMT     2115             0    PQ: 0 ANSI: 6
[ 4581.705548] sd 4:0:0:0: Attached scsi generic sg1 type 0
[ 4581.719003] sd 4:0:0:0: [sdb] 1953525168 512-byte logical blocks: (1.00 TB/931 GiB)
[ 4581.725941] sd 4:0:0:0: [sdb] Write Protect is off
[ 4581.725965] sd 4:0:0:0: [sdb] Mode Sense: 43 00 00 00
[ 4581.733157] sd 4:0:0:0: [sdb] Write cache: enabled, read cache: enabled, doesn't support DPO or FUA
[ 4581.779086]  sdb: sdb1
[ 4581.842995] sd 4:0:0:0: [sdb] Attached SCSI disk

I suspect, that second line (about not ruing @ top speed) indicates, that there is a problem. Unfortunately, since I am a total Linux noob I have no clue as to how to make it better. Quick googling did show up some results, but all of them were related to devices using some other driver (uhci_hcd or else). Could you help me, or at least point me in the right direction?

- - , .