Cook the pasta according to package instructions. Drain and set aside after cooking.
Combine the olive oil and minced garlic in a pan and cook over medium heat until fragrant (about 2 minutes) being careful not to let garlic burn.
Add the broth, oat milk, salt, pepper, and cornstarch to the pan and whisk together until well mixed. Continue to cook over medium heat for about 10 minutes until the sauce has thickened
Let everything cool slightly, stir in the lemon juice and lemon zest and toss the pasta in the sauce, garnish with basil and enjoy!