The invention relates to a modular drilling tool (1) having a carrier body (2) and a cutting unit (16) attached thereto, wherein the carrier body (2) extends along a carrier body longitudinal axis (Z), which is configured substantially cylindrical to a carrier body radius (Tr) and has a chip flute (6) and a discharge edge (8) extending along the chip flute (6). The chip flute (6) extends toward the discharge edge (8) in a convexly curved manner such that - viewed in a cross-sectional view perpendicular to the carrier body longitudinal axis (Z) - a J-shaped chip flute (6) having a chamfer (18) is formed, and an acute advance angle (W) is formed between a chip flute tangent (T) on the discharge edge (8) and a radial (R) touching a groove base in the region of the chamfer (18) at a tangent point (P), thus leading to improved chip guidance in the chip flute.