Background: Complications arising following minimally invasive Ivor Lewis esophagectomy often result from inadequate enteral nutrition, highlighting the need for proactive measures to prevent such issues. One approach involves identifying high-risk cases prone to complications and implementing percutaneous endoscopic jejunostomy (PEJ) tube placement during esophageal resection to ensure timely enteral nutrition. Methods: In this single-center, retrospective cohort study, we examined patients who underwent minimally invasive esophagectomy for esophageal cancer at a high-volume center. The dataset encompassed demographic information, comorbidities, laboratory parameters, and intraoperative details. Our center utilized the EndoVac system pre-emptively to safeguard the anastomosis from harmful secretions and to enhance local oxygen partial pressure. All patients received pre-emptive EndoVac therapy and underwent esophagogastroduodenoscopy in the early postoperative days. The need for multiple postoperative EndoVac cycles indicated complications, including anastomotic insufficiency and subsequent requirement for a PEJ. The primary objectives were identifying predictive factors for anastomotic insufficiency and the need for multi-cycle EndoVac therapy, quantifying their effects, and assessing the likelihood of postoperative complications. Results: 149 patients who underwent minimally invasive or hybrid Ivor Lewis esophagectomy were analyzed and 21 perioperative and demographic features were evaluated. Postoperative complications were associated with the body mass index (BMI) category, the use of blood pressure medication, and surgery duration. Anastomotic insufficiency as a specific complication was correlated with BMI and the Charlson comorbidity index. The odds ratio of being in the high-risk group significantly increased with higher BMI (OR = 1.074, p = 0.048) and longer surgery duration (OR = 1.005, p = 0.004). Conclusions: Based on our findings, high BMI and longer surgery duration are potential risk factors for postoperative complications following minimally invasive esophagectomy. Identifying such factors can aid in pre-emptively addressing nutritional challenges and reducing the incidence of complications in high-risk patients.