Seamless Carbon Steel Tubing, 0.63 Inch OD, 0.10 Inch Thick, 0.44 Inch ID

Match it up by the measurements. This tubing is 0.63 inch outside diameter, with a 0.095 inch wall and about a 0.435 inch inside diameter.

This seamless carbon steel tubing is rated to handle a maximum working pressure of 2787 PSI, based on SAE specification J1065.

Good thinking to account for shock. The 2787 psi figure is already calculated using a 6:1 safety factor, which is the recommended starting point when hydraulic shock and mechanical strain are considered considerable. If your system hits severe shock conditions on a regular basis, an 8:1 safety factor applies, and you'd want to work off a lower safe operating pressure than what's listed. For lighter duty where shock really isn't a concern, a 4:1 factor and higher working pressures can be carefully considered. Match the safety factor to your actual conditions and size accordingly.

The key dimensions on this tube are 0.63 inch outside diameter with a 0.095 inch wall, which puts the inside diameter at about 0.435 inch (often rounded to 0.44). If your measurements are landing in that neighborhood, it matches.