Lightly spoon flour into dry measuring cups, and level with a knife. Place flour, spinach, and salt in a food processor; pulse 3 times or until blended. With processor on, slowly pour oil and eggs through food chute; process until dough forms a ball. Turn dough out onto a lightly floured surface, and knead until smooth and elastic (about 10 minutes). Dust dough lightly with flour; let stand 10 minutes.
Divide dough into 4 equal portions. Working with 1 portion at a time, pass the dough through smooth rollers of the pasta machine on the widest setting. Continue moving width gauge to narrower settings; pass dough through rollers once at each setting, dusting with flour, if needed. Repeat procedure with remaining dough. Cut each pasta sheet into 3 (11 x 2-inch) strips. Hang pasta on a wooden drying rack for 10 minutes. Cook pasta in boiling water 2 minutes or until al dente; drain.