Typically you would use a net tie to use separate traces for the main and sense connections, and then tie them together at the measurement point (in this case, your test point). Altium's documentation explains net ties in further here.
The linked documentation shows a case of connecting two different ground nets together at a specific point:
These AGND and DGND nets would be analogous to your main and sense connections.
In the schematic the net tie looks like this (also from the linked documentation):
The net tie can be designed to have a footprint on the top or bottom of the board (like an 0805 size) so that you can potentially cut the trace between the two nets and insert a component (like a resistor), or it can be a logical connection only (you can even make the connection on an inner layer, if desirable).
Here is an example of an inner layer net tie (no footprint, no BOM component, and implemented just like a normal trace):
In this case I'm using a Kelvin connection for applying a voltage to an enable pin (EN). The EN
net is the force connection, and the EN_SH_SMU
is the sense connection. The DUT is not shown but it's just to the right of the EN via.
You would need two net ties, one to tie your high side main/sense connections together, and one to tie your low side main/sense connections together.