Is there a way to make the Shadow Blade spell (from Xanthar's Guide to Everything) into a pact weapon?

Or can I sacrifice an Invocation to make it so?

The shadow blade spell (Xanathar's Guide to Everything, p. 164) states:

You weave together threads of shadow to create a sword of solidified gloom in your hand. This magic sword lasts until the spell ends. It counts as a simple melee weapon with which you are proficient. It deals 2d8 psychic damage on a hit and has the finesse, light, and thrown properties (range 20/60).

Is there a way to make a shadow blade into a pact weapon for a Pact of the Blade warlock? Or can I use an Eldritch Invocation to make it so?

Is there a way to make the Shadow Blade spell into a pact weapon? The spell comes from Xanthar's Guide to Everything.

Shadow Blade 2nd-level illusion Casting Time 1 bonus action Range Self Components V S Duration Conc. Up to 1 minute You create a magic sword that lasts until the spell ends. It counts as a simple melee weapon that you're proficient with. It deals 2d8 psychic damage, and has the finesse, light, and thrown properties (range 20/60). When you attack in dim light or darkness, you have advantage.

If you drop the weapon or throw it, it disappears at the end of the turn. While the spell persists, you can use a bonus action to make the sword reappear in your hand.

At Higher Levels: When you cast this spell at 3rd or 4th level, the damage increases to 3d8. At 5th or 6th level, the damage increases to 4d8. At 7th level or higher, the damage increases to 5d8.

Or can I sacrifice an Invocation to make it so?

Is there a way to make the Shadow Blade spell (from Xanthar's Guide to Everything) into a pact weapon?

Or can I sacrifice an Invocation to make it so?