Picture of bass in would be helpful.
These usually, per my recollection, if an actual ‘Telecaster’ bass, had one pickup. So your reference to a ‘front’ pickup is a bit confusing.
I’ve seen earlier with the single coil exposed pole pickup and the later models with the big chrome cover pickup reminiscent of a Gibson EB-0.
If it’s the former then Seymour Duncan and Aguilar have what you want. If it’s the latter then I got nothing.
This is a 71 Telecaster Bass
View attachment 4982687
These are different Telecaster basses
View attachment 4982688 View attachment 4982689
Actual ‘51 P-Bass
View attachment 4982802
Which type are you buying?
You referenced a P bass in a different post. These shown above are Telecaster basses and/or early P basses with a different style than the split coil P Bass most are familiar with.