No, first taper with the tramadol. At a reduction of 25mg per week as you mentioned, should be good.
To start, you can also drop your dose to maybe 300mg (50mg 6 times throughout the day, or 100mg 3 times throughout the day, I've read tramadol is metabolized better when you take small 50mg doses every hour or so, so you get more effects over time from less tramadol), and see if that hop down to 300mg in a day has noticeable withdrawals.
If it doesn't or they are bearable, you already gain a big head start in your taper and knock a month of the length of the taper time off. Usually you can make a big jump of lowering your dose by 25%-50% at the beginning of the taper, without getting much withdrawals, you just won't get a "high" anymore, and you have to understand that you can no longer expect a high or seek a high from the tramadol.
Stick to your taper, and never go above your taper dose, consistency is key in a taper. When you get down to say 25mg of tramadol per day, if you aren't experiencing any bad withdrawals which you shouldn't as long as you taper slowly, you will be fine to jump off with minimal withdrawals, if any at all.
Tramadol has two withdrawals to it in a sense; A opiate withdrawal with typical opiate withdrawal symptoms, and then an anti-depressant withdrawal. This is because tramadol has a SNRI mechanisms of action (serotonin-norepenephrine re-uptake inhibitor), along with some mu-opiod receptor action. And the best way to get off opiates or anti-depressants with minimal withdrawals is a slow taper, and it's how a doctor ideally would do it. This should mitigate most, if not all withdrawal symptoms, aside from maybe some fatigue during the taper.