THIS MOD IS NO LONGER SUPPORTED.
The latest supported runtime version is 1.8.88. It will not work with newer versions.
Use this instead: https://www.nexusmods.com/starfield/mods/8915

For the Steam version of the game only.
If you're using the Windows Store/Gamepass version the mod will not work. This is unlikely to change as I don't own that version of the game.
However, if someone wants to make it work, feel free to to so. The link to the source is below.

Description:

This mod will change the behavior of the sprint button to only sprint when the button is held instead of acting like a toggle.
Supports both keyboards and controllers.
This is a port of Classic Sprinting Redone from Skyrim. If you used that mod before, you know what to expect.

Keep in mind, this mod is still experimental, and for now I've kept it very simple. Please report any issues you find.

Installation:

• Requires Starfield Script Extender (SFSE)
  

• After installing SFSE, put the contents of this mod in the Data folder of Starfield.
  

Released under the MIT license.
Source code