Former Brazil international Dida believes Alisson can continue his rapid rise and establish himself as one of the best goalkeepers in the world.
Alisson rose to prominence at Internacional in his homeland after inheriting the starting job from Dida, who has monitored his compatriot's development ever since they worked together.
The 26-year-old initially had to bide his time for first-team opportunities after joining Roma in 2016, eventually taking over as first choice for the Italian club at the start of the 2017-18 season.
Liverpool spent €72.5 million – a world-record fee for a keeper at the time – to sign him in July and Alisson has settled in quickly to life at Anfield, keeping seven clean sheets in 12 Premier League appearances.
"I like Alisson very much – I think he is a great goalkeeper," Dida told Omnisport.
"I had the opportunity of working with him at Internacional. I see his great development in football; going to Europe, playing for the Brazilian national team.
"I hope he can be what everyone expects of him, conquering many things here in Europe and establishing himself as one of the best goalkeepers in the world."
'Alisson has been brilliant - he's a real presence' https://t.co/KuIvNb5WYu— Liverpool FC (@LFC) 26 August 2018
Alisson faces some tough competition in the battle to be seen as the top goalkeeper in the game, including from two Germany internationals who are vying for just one starting spot for their country.
Manuel Neuer has retained the faith of national boss Joachim Low despite coming under pressure for his place from Barcelona's Marc-Andre ter Stegen.
"Great goalkeepers, both of them," Dida said of the duo.
"They have shown great technique and ability, which means that Germany manages to remain with a high level in all competitions."
|Stupendous Shakib torments Afghanistan|
|Ivory Coast 1 South Africa 0: Kodjia secures precious opening win|
|Boring French Grand Prix should accelerate rule changes|
|Smith, Warner have extra motivation after World Cup heckles – Finch|
|Shearer slams Newcastle ´shambles´ as players & fans hail Benitez|
|Windies replace injured Russell with Ambris|
|CAF chief Johansen calls for investigation into Cameroon after Women´s World Cup controversy|
|Cameroon v Guinea-Bissau: Seedorf´s Indomitable Lions ´serene´ despite bonus row|
|Morgan has no issue with Smith and Warner boos|
|Barty pulls out of Eastbourne with arm injury|
|Barcelona would win more if Messi was a team player - Van Gaal|
|San Siro to be ´knocked down´, claims AC Milan president|
|Missing Origin decider would be ´devastating´ for injured Cleary|
|US Open singles ´not the target´ for Murray after Queen´s triumph|
|Newcastle confirm Benitez departure|
|England´s Roy ruled out of Australia clash|
|First big hoax of the season - Napoli shut down Allan & Insigne sale rumours|
|Van Dijk excited for Liverpool´s future|
|Baghdatis to bow out after Wimbledon|
|Coutinho, Arthur want Neymar back at Barcelona|
|Folau a victim of ´continuing campaign of discrimination´ after GoFundMe page shut down|
|Messi at 32: The superstar´s 10 finest goals for club and country|
|Messi at 32: The Barcelona star´s achievements through the years|
|Now begins another Copa – Messi urges Argentina to kick on after progressing|
|Uncertain Koulibaly suspects he will stay at Napoli|
|Lonzo Ball: Trade from Lakers to Pelicans ´good news´|
|Marquinhos accepts PSG may find it difficult to keep Neymar|
|This week at the Cricket World Cup: Defending champions Australia face tough tests|
|Rumour Has It: Neymar tells Barca players he´s coming|
|Milan need to be playing Champions League – Kalac excited by Giampaolo|
|Marlins complete sweep to hand Phillies seventh consecutive loss|
|Copa America and Messi clash a great experience for Qatar, says Sanchez|
|Martinique 2 Mexico 3: Martino´s men avoid shock against minnows|
|Chris Paul addresses trade rumours, says he´s ´happy´ with Rockets|
|Folau´s GoFundMe campaign shut down for breaching terms|
|We made history – Ronaldo meets Jordan|
|Truex picks up another win at Toyota/Save Mart 350|
|Columbus Crew 0 Sporting Kansas City 1: Gutierrez header enough for visitors|
|Raptors have strong chance to re-sign Kawhi Leonard – Green|
|Alonso sets Mets´ rookie homer record 78 games into season|
|Yankees continue home-run streak, set franchise record|
|Green wins Women´s PGA Championship for maiden major title|
|Reavie ends 11-year PGA Tour win drought at Travelers Championship|
|Argentina seem to be at war – Scaloni|
|USA, China claim first World Cup titles ahead of FIBA 3x3 Olympic debut|
|Euro U21s Review: Germany through, Denmark and Austria crash out|
|Cameroon boss slams ´miscarriage of justice´|
|England and France advance as Neville fumes at Cameroon|
|Ferrari failed in bid to close on Mercedes - Vettel|
|Mallorca 3 Deportivo La Coruna 0 (3-2 agg): Extraordinary comeback seals LaLiga return|
|Sonego shocks Sousa, Troicki labours through at Antalya Open|
|Konta off to a winning start at Eastbourne|
|Algeria 2 Kenya 0: Mahrez scores in comfortable success|
|Qatar 0 Argentina 2: Aguero on target as Scaloni´s men progress|
|Colombia 1 Paraguay 0: Cuellar strike seals Copa America win for fringe stars|
|England boss Neville praises Duggan following alleged spitting incident|
|Ricciardo falls to 11th with two French GP penalties|
|I felt no pain - Murray delighted after comeback success|
|South Africa suffering confidence crisis - Du Plessis|
|Senegal 2 Tanzania 0: Balde, Diatta on target in routine AFCON win|
|Gilardino urges Cutrone to leave AC Milan|
|Vinicius ´sure´ Mbappe will join Madrid|
|Kenin saves three championship points to win Mallorca final|
|World Cup hopes all over for South Africa after heavy Lord´s defeat to Pakistan|
|Mali v Mauritania: Historic occasion on the cards in Suez|
|Pavan edges out Fitzpatrick in Munich thriller|
|We were aiming for top 10 – Barty in awe after claiming number one status|
|Tunisia v Angola: Giresse hails ´boundless´ ambition|
|Morocco 1 Namibia 0: Keimuine blunder gives Renard´s men slender win|
|Chile v Uruguay: Sanchez ankle injury to be assessed|