progressing (?.)

• advancing
• ambulant
• ambulative
• ambulatory
• ameliorative
• bettering
• bradytelic
• circuit-riding
• developing
• evolutional
• evolutionist
• evolutionistic
• evolving
• expeditionary
• forward
• forward-looking
• genetic
• globe-girdling
• globe-trotting
• go-ahead
• going
• horotelic
• improving
• itinerant
• itinerary
• journeying
• locomotive
• looking up
• maturational
• maturative
• maturing
• meliorative
• mending
• moving
• mundivagant
• on the lift
• on the mend
• on tour
• oncoming
• ongoing
• ontogenetic
• onward
• passing
• pedestrian
• perambulating
• perambulatory
• peregrinative
• peregrine
• peripatetic
• phylogenetic
• physiogenetic
• pilgrimlike
• proceeding
• progressive
• strolling
• tachytelic
• touring
• touristic
• touristy
• traveling
• trekking
• unfolding
• walking
• wayfaring