A capsule for beverage preparation, comprising a cup-shaped body and a closing membrane attached to said body, said body and membrane defining a closed ingredient compartment, said capsule being adapted to be pierced by water injection means of a beverage preparation machine for injecting water under pressure in the compartment, and said membrane being adapted to pierce onto opening means of said machine for dispensing a beverage prepared within said compartment when water pressure inside the compartment reaches a predetermined value, at least said capsule body being made of rigid or semi-rigid moulded cellulose pulp, said capsule further comprising a multilayer polymeric liner attached to the inner surface of the cellulose pulp body, said liner comprising: (i) an outermost polymeric layer comprising a biodegradable polymer selected within the list of: polybutylene succinate (PBSA / bioPBS), polybutylene adipate terephthalate (PBAT), starch, cellulose derivates, polylactic acid, polyhydroxyalcanoates, or a combination thereof, said outermost layer having a thickness comprised between 10 and 100 μm, (ii) a first tie layer comprising a biodegradable modified or functionalized polyolefin, having a melting point temperature comprised between 180°C and 230°C and a thickness comprised between 1 and 12 μm, (iii) a barrier layer comprising a polymer selected within the list of: butenediol vinyl alcohol copolymer (BVOH), polyvinyl alcohol (PVOH) or a combination thereof, and having a melting point temperature comprised between 180°C and 230°C and a thickness comprised between 1 and 15 μm, (iv) a second tie layer comprising a biodegradable modified or functionalized polyolefin, having a melting point temperature comprised between 180°C and 230°C and a thickness comprised between 1 and 10 μm, (v) an innermost polymeric layer comprising a biodegradable polymer selected within the list of: polybutylene succinate (PBSA), polybutylene adipate terephthalate (PBAT), starch, cellulose derivates, polylactic acid, polyhydroxyalcanoates or a combination thereof, said innermost layer having a thickness comprised between 10 and 100 μm, and said innermost layer having a melting point temperature comprised between 110°C and 180°C, said capsule being characterised in that - said outermost layer has an elongation at break comprised between 10% and 800%, a melt flow rate comprised between 2 and 4 when measured at 150°C during 10 minutes with a pressure of 2.16 kg, and a melting point temperature below 80°C, and - said innermost layer has an elongation at break comprised between 10% and 1000% and a melt flow rate comprised between 4 and 10 when measured at 190°C during 10 minutes with a pressure of 2.16 kg. (i) an outermost polymeric layer comprising a biodegradable polymer selected within the list of: polybutylene succinate (PBSA / bioPBS), polybutylene adipate terephthalate (PBAT), starch, cellulose derivates, polylactic acid, polyhydroxyalcanoates, or a combination thereof, said outermost layer having a thickness comprised between 10 and 100 μm, (ii) a first tie layer comprising a biodegradable modified or functionalized polyolefin, having a melting point temperature comprised between 180°C and 230°C and a thickness comprised between 1 and 12 μm, (iii) a barrier layer comprising a polymer selected within the list of: butenediol vinyl alcohol copolymer (BVOH), polyvinyl alcohol (PVOH) or a combination thereof, and having a melting point temperature comprised between 180°C and 230°C and a thickness comprised between 1 and 15 μm, (iv) a second tie layer comprising a biodegradable modified or functionalized polyolefin, having a melting point temperature comprised between 180°C and 230°C and a thickness comprised between 1 and 10 μm, (v) an innermost polymeric layer comprising a biodegradable polymer selected within the list of: polybutylene succinate (PBSA), polybutylene adipate terephthalate (PBAT), starch, cellulose derivates, polylactic acid, polyhydroxyalcanoates or a combination thereof, said innermost layer having a thickness comprised between 10 and 100 μm, and said innermost layer having a melting point temperature comprised between 110°C and 180°C, - said outermost layer has an elongation at break comprised between 10% and 800%, a melt flow rate comprised between 2 and 4 when measured at 150°C during 10 minutes with a pressure of 2.16 kg, and a melting point temperature below 80°C, and - said innermost layer has an elongation at break comprised between 10% and 1000% and a melt flow rate comprised between 4 and 10 when measured at 190°C during 10 minutes with a pressure of 2.16 kg.